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56837527044 = 223235912792729
BaseRepresentation
bin110100111011110001…
…111101011000000100
312102201002211112102020
4310323301331120010
51412400401331134
642035533243140
74051326002634
oct647361753004
9172632745366
1056837527044
1122117336351
12b0229334b0
13548a4ca70c
142a728766c4
151729cb8b49
hexd3bc7d604

56837527044 has 96 divisors (see below), whose sum is σ = 140894208000. Its totient is φ = 17794503936.

The previous prime is 56837527013. The next prime is 56837527177. The reversal of 56837527044 is 44072573865.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20825872 + ... + 20828600.

It is an arithmetic number, because the mean of its divisors is an integer number (1467648000).

Almost surely, 256837527044 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 56837527044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104000).

56837527044 is an abundant number, since it is smaller than the sum of its proper divisors (84056680956).

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

56837527044 is a wasteful number, since it uses less digits than its factorization.

56837527044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 56837527044 in words is "fifty-six billion, eight hundred thirty-seven million, five hundred twenty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 177 236 276 354 708 1279 1357 2558 2714 2729 3837 4071 5116 5428 5458 7674 8142 8187 10916 15348 16284 16374 29417 32748 58834 62767 75461 88251 117668 125534 150922 161011 176502 188301 226383 251068 301844 322022 353004 376602 452766 483033 644044 753204 905532 966066 1735603 1932132 3471206 3490391 3703253 5206809 6942412 6980782 7406506 10413618 10471173 11109759 13961564 14813012 20827236 20942346 22219518 41884692 44439036 80278993 160557986 205933069 240836979 321115972 411866138 481673958 617799207 823732276 963347916 1235598414 2471196828 4736460587 9472921174 14209381761 18945842348 28418763522 56837527044