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21555160256 = 267418111447
BaseRepresentation
bin10100000100110010…
…011010010011000000
32001122012211121001202
4110010302122103000
5323121110112011
613522521520332
71362104560550
oct240462322300
961565747052
1021555160256
119161364a33
1242169430a8
132056940cc6
141086a67160
1586255e23b
hex504c9a4c0

21555160256 has 112 divisors (see below), whose sum is σ = 50172713472. Its totient is φ = 8995276800.

The previous prime is 21555160213. The next prime is 21555160273. The reversal of 21555160256 is 65206155512.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14895725 + ... + 14897171.

It is an arithmetic number, because the mean of its divisors is an integer number (447970656).

Almost surely, 221555160256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21555160256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25086356736).

21555160256 is an abundant number, since it is smaller than the sum of its proper divisors (28617553216).

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

21555160256 is a wasteful number, since it uses less digits than its factorization.

21555160256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 21555160256 in words is "twenty-one billion, five hundred fifty-five million, one hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 811 1148 1312 1447 1622 2296 2624 2894 3244 4592 5677 5788 6488 9184 10129 11354 11576 12976 18368 20258 22708 23152 25952 33251 40516 45416 46304 51904 59327 66502 81032 90832 92608 118654 133004 162064 181664 232757 237308 266008 324128 363328 415289 465514 474616 532016 648256 830578 931028 949232 1064032 1173517 1661156 1862056 1898464 2128064 2347034 3322312 3724112 3796928 4694068 6644624 7448224 8214619 9388136 13289248 14896448 16429238 18776272 26578496 32858476 37552544 48114197 65716952 75105088 96228394 131433904 192456788 262867808 336799379 384913576 525735616 673598758 769827152 1347197516 1539654304 2694395032 3079308608 5388790064 10777580128 21555160256