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56655100512 = 2533479313681
BaseRepresentation
bin110100110000111010…
…000011101001100000
312102020101120022021000
4310300322003221200
51412012201204022
642005455232000
74043652260103
oct646072035140
9172211508230
1056655100512
112203336661a
12ab91818600
13545b78721a
142a5654a73a
151718c816ac
hexd30e83a60

56655100512 has 96 divisors (see below), whose sum is σ = 165290600160. Its totient is φ = 18879713280.

The previous prime is 56655100493. The next prime is 56655100517. The reversal of 56655100512 is 21500155665.

56655100512 is a `hidden beast` number, since 56 + 6 + 551 + 0 + 0 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56655100517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4134312 + ... + 4147992.

It is an arithmetic number, because the mean of its divisors is an integer number (1721777085).

Almost surely, 256655100512 is an apocalyptic number.

It is an amenable number.

56655100512 is an abundant number, since it is smaller than the sum of its proper divisors (108635499648).

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

56655100512 is a wasteful number, since it uses less digits than its factorization.

56655100512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18493 (or 18479 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 56655100512 in words is "fifty-six billion, six hundred fifty-five million, one hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4793 9586 13681 14379 19172 27362 28758 38344 41043 43137 54724 57516 76688 82086 86274 109448 115032 123129 129411 153376 164172 172548 218896 230064 246258 258822 328344 345096 369387 437792 460128 492516 517644 656688 690192 738774 985032 1035288 1313376 1380384 1477548 1970064 2070576 2955096 3940128 4141152 5910192 11820384 65573033 131146066 196719099 262292132 393438198 524584264 590157297 786876396 1049168528 1180314594 1573752792 1770471891 2098337056 2360629188 3147505584 3540943782 4721258376 6295011168 7081887564 9442516752 14163775128 18885033504 28327550256 56655100512