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56923840512 = 2133271137271
BaseRepresentation
bin110101000000111011…
…001110000000000000
312102221010020201020100
4311000323032000000
51413040000344022
642052255242400
74053424442460
oct650073160000
9172833221210
1056923840512
11221610299a0
12b047819400
1354a235b686
142a80103ba0
1517326681ac
hexd40ece000

56923840512 has 672 divisors, whose sum is σ = 211329690624. Its totient is φ = 14332723200.

The previous prime is 56923840511. The next prime is 56923840529. The reversal of 56923840512 is 21504832965.

56923840512 is a `hidden beast` number, since 5 + 6 + 9 + 238 + 405 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×569238405122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56923840511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210050937 + ... + 210051207.

Almost surely, 256923840512 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 56923840512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105664845312).

56923840512 is an abundant number, since it is smaller than the sum of its proper divisors (154405850112).

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

56923840512 is a wasteful number, since it uses less digits than its factorization.

56923840512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56923840512 in words is "fifty-six billion, nine hundred twenty-three million, eight hundred forty thousand, five hundred twelve".