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56912972256 = 25327157179813
BaseRepresentation
bin110101000000010001…
…110000100111100000
312102220100210112210100
4311000101300213200
51413024210103011
642051230302400
74053233165550
oct650021604740
9172810715710
1056912972256
1122155986468
12b044057a00
1354a002485a
142a7c8b5160
15173171cd56
hexd404709e0

56912972256 has 144 divisors (see below), whose sum is σ = 186146329824. Its totient is φ = 16157187072.

The previous prime is 56912972213. The next prime is 56912972279. The reversal of 56912972256 is 65227921965.

56912972256 is a `hidden beast` number, since 569 + 1 + 2 + 9 + 7 + 22 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×569129722562 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226606 + ... + 406418.

It is an arithmetic number, because the mean of its divisors is an integer number (1292682846).

Almost surely, 256912972256 is an apocalyptic number.

56912972256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56912972256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93073164912).

56912972256 is an abundant number, since it is smaller than the sum of its proper divisors (129233357568).

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

56912972256 is a wasteful number, since it uses less digits than its factorization.

56912972256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179993 (or 179982 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 56912972256 in words is "fifty-six billion, nine hundred twelve million, nine hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 157 168 224 252 288 314 336 471 504 628 672 942 1008 1099 1256 1413 1884 2016 2198 2512 2826 3297 3768 4396 5024 5652 6594 7536 8792 9891 11304 13188 15072 17584 19782 22608 26376 35168 39564 45216 52752 79128 105504 158256 179813 316512 359626 539439 719252 1078878 1258691 1438504 1618317 2157756 2517382 2877008 3236634 3776073 4315512 5034764 5754016 6473268 7552146 8631024 10069528 11328219 12946536 15104292 17262048 20139056 22656438 25893072 28230641 30208584 40278112 45312876 51786144 56461282 60417168 84691923 90625752 112922564 120834336 169383846 181251504 197614487 225845128 254075769 338767692 362503008 395228974 451690256 508151538 592843461 677535384 790457948 903380512 1016303076 1185686922 1355070768 1580915896 1778530383 2032606152 2371373844 2710141536 3161831792 3557060766 4065212304 4742747688 6323663584 7114121532 8130424608 9485495376 14228243064 18970990752 28456486128 56912972256