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56332692423360 = 263553153676581
BaseRepresentation
bin11001100111011111110100…
…00111110000001011000000
321101110100112012012000200000
430303233322013300023000
524340423323230021420
6315450514233400000
714602621430032413
oct1463577207601300
9241410465160600
1056332692423360
1116a49619312341
1263997a0869000
1325581c4a09682
14dca7343a3b7a
1567a52146a690
hex333bfa1f02c0

56332692423360 has 1344 divisors, whose sum is σ = 214519553224704. Its totient is φ = 14048158924800.

The previous prime is 56332692423283. The next prime is 56332692423383. The reversal of 56332692423360 is 6332429623365.

56332692423360 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 2 + 69 + 242 + 336 + 0 = 666.

56332692423360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×563326924233602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56332692423297 and 56332692423306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8559895270 + ... + 8559901850.

It is an arithmetic number, because the mean of its divisors is an integer number (159612762816).

Almost surely, 256332692423360 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 56332692423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107259776612352).

56332692423360 is an abundant number, since it is smaller than the sum of its proper divisors (158186860801344).

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

56332692423360 is a wasteful number, since it uses less digits than its factorization.

56332692423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 54.

The spelling of 56332692423360 in words is "fifty-six trillion, three hundred thirty-two billion, six hundred ninety-two million, four hundred twenty-three thousand, three hundred sixty".