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56536880256 = 27348365699
BaseRepresentation
bin110100101001110111…
…000101010010000000
312101221011010002120000
4310221313011102000
51411241420132011
641550033320000
74041015360453
oct645167052200
9171834102500
1056536880256
1121a8265aa2a
12ab5a106000
1354401343cc
142a4497549a
15170d6cd356
hexd29dc5480

56536880256 has 160 divisors (see below), whose sum is σ = 170282574000. Its totient is φ = 18618287616.

The previous prime is 56536880249. The next prime is 56536880269. The reversal of 56536880256 is 65208863565.

56536880256 is a `hidden beast` number, since 5 + 6 + 536 + 8 + 80 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 827695 + ... + 893393.

Almost surely, 256536880256 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 56536880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85141287000).

56536880256 is an abundant number, since it is smaller than the sum of its proper divisors (113745693744).

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

56536880256 is an equidigital number, since it uses as much as digits as its factorization.

56536880256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65808 (or 65787 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 56536880256 in words is "fifty-six billion, five hundred thirty-six million, eight hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 83 96 108 128 144 162 166 192 216 249 288 324 332 384 432 498 576 648 664 747 864 996 1152 1296 1328 1494 1728 1992 2241 2592 2656 2988 3456 3984 4482 5184 5312 5976 6723 7968 8964 10368 10624 11952 13446 15936 17928 23904 26892 31872 35856 47808 53784 65699 71712 95616 107568 131398 143424 197097 215136 262796 286848 394194 430272 525592 591291 788388 860544 1051184 1182582 1576776 1773873 2102368 2365164 3153552 3547746 4204736 4730328 5321619 5453017 6307104 7095492 8409472 9460656 10643238 10906034 12614208 14190984 16359051 18921312 21286476 21812068 25228416 28381968 32718102 37842624 42572952 43624136 49077153 56763936 65436204 75685248 85145904 87248272 98154306 113527872 130872408 147231459 170291808 174496544 196308612 227055744 261744816 294462918 340583616 348993088 392617224 441694377 523489632 588925836 681167232 697986176 785234448 883388754 1046979264 1177851672 1570468896 1766777508 2093958528 2355703344 3140937792 3533555016 4711406688 6281875584 7067110032 9422813376 14134220064 18845626752 28268440128 56536880256