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56915515656 = 233231157162419
BaseRepresentation
bin110101000000011011…
…011101100100001000
312102220112120202200100
4311000123131210020
51413030333000111
642051401005400
74053263620656
oct650033354410
9172815522610
1056915515656
112215736334a
12b044a83860
1354a070541c
142a7cd77dd6
151731a71756
hexd406dd908

56915515656 has 96 divisors (see below), whose sum is σ = 160133126400. Its totient is φ = 18242789760.

The previous prime is 56915515637. The next prime is 56915515667. The reversal of 56915515656 is 65651551965.

56915515656 is a `hidden beast` number, since 5 + 69 + 1 + 5 + 515 + 65 + 6 = 666.

It is a super-2 number, since 2×569155156562 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269215 + ... + 431633.

It is an arithmetic number, because the mean of its divisors is an integer number (1668053400).

Almost surely, 256915515656 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 56915515656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80066563200).

56915515656 is an abundant number, since it is smaller than the sum of its proper divisors (103217610744).

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

56915515656 is a wasteful number, since it uses less digits than its factorization.

56915515656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162619 (or 162612 counting only the distinct ones).

The product of its digits is 6075000, while the sum is 54.

The spelling of 56915515656 in words is "fifty-six billion, nine hundred fifteen million, five hundred fifteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 157 186 248 279 314 372 471 558 628 744 942 1116 1256 1413 1884 2232 2826 3768 4867 5652 9734 11304 14601 19468 29202 38936 43803 58404 87606 116808 162419 175212 324838 350424 487257 649676 974514 1299352 1461771 1949028 2923542 3898056 5034989 5847084 10069978 11694168 15104967 20139956 25499783 30209934 40279912 45314901 50999566 60419868 76499349 90629802 101999132 120839736 152998698 181259604 203998264 229498047 305997396 362519208 458996094 611994792 790493273 917992188 1580986546 1835984376 2371479819 3161973092 4742959638 6323946184 7114439457 9485919276 14228878914 18971838552 28457757828 56915515656