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| number = 64
| divisor = 1, 2, 4, 8, 16, 32, 64
}}
'''64'''  ('''sixty-four''') is the [[natural number]] following [[63 (number)|63]] and preceding [[65 (number)|65]].
 
==In mathematics==
'''Sixty-four''' is the square of [[8 (number)|8]], the cube of [[4 (number)|4]], and the sixth power of [[2 (number)|2]]. It is the smallest number with exactly seven [[divisor]]s. It is the lowest positive [[power of two]] that is adjacent to neither a [[Mersenne prime]] nor a [[Fermat prime]]. 64 is the sum of [[Euler's totient function]] for the first fourteen integers. It is also a [[dodecagonal number]] and a [[centered triangular number]].  64 is also the first whole number that is both a perfect square and a perfect cube.
 
Since it is possible to find sequences of 64 consecutive integers such that each inner member shares a factor with either the first or the last member, 64 is an [[Erdős–Woods number]].
 
In base 10, no integer added up to its own digits yields 64, hence it is a [[self number]].
 
64 is a [[superperfect number]] - a number such that [[divisor function|σ]](σ(''n''))=2''n''.
 
64 is the index of [[Graham's number]] in the rapidly growing sequence <math>3\uparrow\uparrow\uparrow\uparrow 3</math>,<math>3\uparrow^{3 \uparrow\uparrow\uparrow\uparrow 3}3</math>,...
 
==In science==
*The [[atomic number]] of [[gadolinium]], a lanthanide
 
===Astronomy===
*[[Messier object]] [[Messier 64|M64]], a [[visual magnitude|magnitude]] 9.0 [[galaxy]] in the [[constellation]] [[Coma Berenices]], also known as the [[Black Eye Galaxy]].
 
*The [[New General Catalogue]] [http://www.ngcic.org/ object] [[NGC 64]], a [[barred spiral galaxy]] in the constellation [[Cetus]].
 
*The [[Saros number|Saros]] [http://sunearth.gsfc.nasa.gov/eclipse/SEsaros/SEsaros1-175.html number] of the [[solar eclipse]] series which began on [[-832]] April 11 and ended on 430  May. The duration of Saros series 64 was 1262.1 years, and it contained 71 solar eclipses.
 
*The Saros [http://sunearth.gsfc.nasa.gov/eclipse/LEsaros/LEsaros1-175.html number] of the [[lunar eclipse]] series which began on [[-801]] August 9 and ended on 714  February. The duration of Saros series 64 was 1514.5 years, and it contained 85 lunar eclipses.
 
==In other fields==
[[File:Chess Board.svg|thumb|A [[chessboard]] has 64 squares]]
'''Sixty-four''' is:
* In some computer programming languages, the size in bits of certain data types
* In [[chess]] or [[draughts]], the total number of black (dark) and white (light) squares on the game board
* The total number of gems in a standard ''[[Bejeweled (series)|Bejeweled]]'' game board
* [[64 (chess magazine)|''64'']] is the name of the premier [[Russia]]n chess [[magazine]]
* The [[code for international direct dial]] calls to [[New Zealand]]
* The designation of [[USA|US]] [[Interstate 64]], a freeway from [[Missouri]] to [[Virginia]]
* The designation of [[U.S. Route 64]], a highway from [[Arizona]] to [[North Carolina]]
* The subject of the [[The Beatles|Beatles]] song "[[When I'm Sixty-Four]]"
* The registry of the U.S. Navy's aircraft carrier [[USS Constellation (CV-64)]]
* The number of [[Braille]] characters in the old 6-dot system
* In [[8-bit]] [[home computer]]s, a common shorthand for the [[Commodore 64]]
* In [[video game]]s, the [[Nintendo 64]] [[video game console]] and (historically) the [[Commodore 64]]. Since 1996, the number 64 has been an abbreviation or slang for Nintendo 64 (though ''N64'' is more common) along with the games ''[[Super Mario 64]]'', ''[[Mario Kart 64]]'' and more
* The maximum number of [[stroke (Chinese character)|stroke]]s in any [[Chinese character]]
* Number of hexagrams in the [[I Ching]]
* Number of sexual positions in the [[Kama Sutra]]
* Number of demons in the [[Dictionnaire Infernal]]
* Slang term referring to a 1964 [[Chevrolet Impala]], often configured as a [[lowrider]], a popular subject among early-90's [[gangsta rap]]
* The number of classical arts listed in many Indian scriptures. They include: singing, dancing, painting, poetry, playing cards, making arguments, making flower garlands, etc.
* The number of the [[French department]] [[Pyrénées-Atlantiques]]
* The number of crayons in the popular [[Crayola 64]] pack
* [[Base 64]] is used for example with [[Base64]] encoding.
* Maximum stack size in the popular game [[Minecraft]].
* [[64 (dog)]] is a character in the [[Donald Duck]] [[comics]] universe.
* Number of codons in the RNA codon table under [[genetic code]].
* Number of golden disks in the myth of the [[Tower of Hanoi]].
* A number referring to [[Tiananmen Square protests of 1989]] ({{zh|s=六四事件|l=Six Four Incident}}) in Chinese
* "64" is the title of a song by the hip-hop group [[MellowHype|Mellowhype]] from their album [[BlackenedWhite|Blackenedwhite]]
 
==See also==
* [[The 64,000 Dollar Question]]
 
{{Integers|zero}}
 
[[Category:Integers]]

Latest revision as of 18:29, 18 June 2014

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