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56315617875 = 33531123101653
BaseRepresentation
bin110100011100101011…
…000010001001010011
312101100201202210122000
4310130223002021103
51410313244233000
641512051045043
74032360565566
oct643453021123
9171321683560
1056315617875
1121979775260
12aab7ba0783
13540634421a
142a2341a4dd
1516e9074000
hexd1cac2253

56315617875 has 256 divisors, whose sum is σ = 119882280960. Its totient is φ = 25819200000.

The previous prime is 56315617867. The next prime is 56315617889. The reversal of 56315617875 is 57871651365.

It is a happy number.

56315617875 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 561 + 7 + 8 + 75 = 666.

It is not a de Polignac number, because 56315617875 - 23 = 56315617867 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 86241049 + ... + 86241701.

It is an arithmetic number, because the mean of its divisors is an integer number (468290160).

Almost surely, 256315617875 is an apocalyptic number.

56315617875 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

56315617875 is an abundant number, since it is smaller than the sum of its proper divisors (63566663085).

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

56315617875 is a wasteful number, since it uses less digits than its factorization.

56315617875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 796 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The spelling of 56315617875 in words is "fifty-six billion, three hundred fifteen million, six hundred seventeen thousand, eight hundred seventy-five".