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21334066400 = 2552191403557
BaseRepresentation
bin10011110111100111…
…000000010011100000
32001001210210212022102
4103313213000103200
5322143010111100
613444543025532
71353451400213
oct236747002340
961053725272
1021334066400
119058584939
12417489b2a8
13201cbac73a
14106555377a
1584ce39cd5
hex4f79c04e0

21334066400 has 72 divisors (see below), whose sum is σ = 54822975480. Its totient is φ = 8084482560.

The previous prime is 21334066399. The next prime is 21334066441. The reversal of 21334066400 is 466043312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 686579 + ... + 716978.

It is an arithmetic number, because the mean of its divisors is an integer number (761430215).

Almost surely, 221334066400 is an apocalyptic number.

21334066400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21334066400 is an abundant number, since it is smaller than the sum of its proper divisors (33488909080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21334066400 is a wasteful number, since it uses less digits than its factorization.

21334066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403596 (or 1403583 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The spelling of 21334066400 in words is "twenty-one billion, three hundred thirty-four million, sixty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 15200 1403557 2807114 5614228 7017785 11228456 14035570 22456912 26667583 28071140 35088925 44913824 53335166 56142280 70177850 106670332 112284560 133337915 140355700 213340664 224569120 266675830 280711400 426681328 533351660 561422800 666689575 853362656 1066703320 1122845600 1333379150 2133406640 2666758300 4266813280 5333516600 10667033200 21334066400