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56892693816 = 23367417239
BaseRepresentation
bin110100111111000100…
…011001110100111000
312102211221122022000000
4310333010121310320
51413004012200231
642045223513000
74052565630000
oct647704316470
9172757568000
1056892693816
1122145495a22
12b0392b8760
135498a7478a
142a79d17000
15172ea646e6
hexd3f119d38

56892693816 has 560 divisors, whose sum is σ = 198384746400. Its totient is φ = 15234863616.

The previous prime is 56892693787. The next prime is 56892693817. The reversal of 56892693816 is 61839629865.

56892693816 is a `hidden beast` number, since 568 + 9 + 2 + 69 + 3 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×568926938162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56892693817) by changing a digit.

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 139 ways as a sum of consecutive naturals, for example, 238044625 + ... + 238044863.

Almost surely, 256892693816 is an apocalyptic number.

56892693816 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 56892693816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99192373200).

56892693816 is an abundant number, since it is smaller than the sum of its proper divisors (141492052584).

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

56892693816 is an equidigital number, since it uses as much as digits as its factorization.

56892693816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 268 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 56892693816 in words is "fifty-six billion, eight hundred ninety-two million, six hundred ninety-three thousand, eight hundred sixteen".