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56353066868736 = 2133311151157977
BaseRepresentation
bin11001101000000101110001…
…00010000110000000000000
321101112022010010022002102000
430310002320202012000000
524341242040104244421
6315504124100424000
714604242346665661
oct1464027042060000
9241468103262360
1056353066868736
1116a57224142750
1263a17280a8000
13255a0c0b49101
14dcb7082bb368
1567ad14eed226
hex3340b8886000

56353066868736 has 896 divisors, whose sum is σ = 184703105848320. Its totient is φ = 16838295552000.

The previous prime is 56353066868689. The next prime is 56353066868773. The reversal of 56353066868736 is 63786866035365.

56353066868736 is a `hidden beast` number, since 5 + 6 + 3 + 530 + 6 + 6 + 8 + 6 + 87 + 3 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57679699480 + ... + 57679700456.

Almost surely, 256353066868736 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 56353066868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92351552924160).

56353066868736 is an abundant number, since it is smaller than the sum of its proper divisors (128350038979584).

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

56353066868736 is a wasteful number, since it uses less digits than its factorization.

56353066868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 72.

The spelling of 56353066868736 in words is "fifty-six trillion, three hundred fifty-three billion, sixty-six million, eight hundred sixty-eight thousand, seven hundred thirty-six".