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56088794337408 = 2732721931254419
BaseRepresentation
bin11001100000011001100001…
…01010011001000010000000
321100121000222111220112000100
430300030300222121002000
524322424322322244113
6315142500355122400
714546165416354500
oct1460146052310200
9240530874815010
1056088794337408
1116965140198468
12635a4738a3400
13253b1c5b7a311
14dbc9d812da00
15673ee91bad73
hex330330a99080

56088794337408 has 864 divisors, whose sum is σ = 204219011646000. Its totient is φ = 14691919656960.

The previous prime is 56088794337371. The next prime is 56088794337413. The reversal of 56088794337408 is 80473349788065.

56088794337408 is a `hidden beast` number, since 5 + 6 + 0 + 88 + 79 + 43 + 37 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1030656823 + ... + 1030711241.

Almost surely, 256088794337408 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 56088794337408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102109505823000).

56088794337408 is an abundant number, since it is smaller than the sum of its proper divisors (148130217308592).

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

56088794337408 is a wasteful number, since it uses less digits than its factorization.

56088794337408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54534 (or 54481 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 56088794337408 in words is "fifty-six trillion, eighty-eight billion, seven hundred ninety-four million, three hundred thirty-seven thousand, four hundred eight".