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56235256616 = 237113122712973
BaseRepresentation
bin110100010111111000…
…011110101100101000
312101011010120000201002
4310113320132230220
51410132211202431
641500100414132
74030363536320
oct642770365450
9171133500632
1056235256616
11219383776a0
12aa950a7348
1353c27b8596
142a1689c280
1516e1e9d3cb
hexd17e1eb28

56235256616 has 128 divisors (see below), whose sum is σ = 136307957760. Its totient is φ = 21108038400.

The previous prime is 56235256603. The next prime is 56235256643. The reversal of 56235256616 is 61665253265.

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, 4328306 + ... + 4341278.

It is an arithmetic number, because the mean of its divisors is an integer number (1064905920).

Almost surely, 256235256616 is an apocalyptic number.

56235256616 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 56235256616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68153978880).

56235256616 is an abundant number, since it is smaller than the sum of its proper divisors (80072701144).

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

56235256616 is a wasteful number, since it uses less digits than its factorization.

56235256616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13255 (or 13251 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 47.

The spelling of 56235256616 in words is "fifty-six billion, two hundred thirty-five million, two hundred fifty-six thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 227 248 308 341 434 454 616 682 868 908 1364 1589 1736 1816 2387 2497 2728 3178 4774 4994 6356 7037 9548 9988 12712 12973 14074 17479 19096 19976 25946 28148 34958 49259 51892 56296 69916 77407 90811 98518 103784 139832 142703 154814 181622 197036 285406 309628 363244 394072 402163 541849 570812 619256 726488 804326 998921 1083698 1141624 1608652 1997842 2167396 2815141 2944871 3217304 3995684 4334792 4423793 5630282 5889742 7991368 8847586 11260564 11779484 17695172 20614097 22521128 23558968 30966551 32393581 35390344 41228194 61933102 64787162 82456388 91291001 123866204 129574324 164912776 182582002 226755067 247732408 259148648 365164004 453510134 639037007 730328008 907020268 1004201011 1278074014 1814040536 2008402022 2556148028 4016804044 5112296056 7029407077 8033608088 14058814154 28117628308 56235256616