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56884639392 = 2533726122027
BaseRepresentation
bin110100111110100101…
…101011011010100000
312102211101111002102000
4310332211223122200
51412444431430032
642044335124000
74052440312500
oct647645533240
9172741432360
1056884639392
1122140994579
12b036673600
1354971b4649
142a78c1ba00
15172dec2e7c
hexd3e96b6a0

56884639392 has 288 divisors, whose sum is σ = 196174319040. Its totient is φ = 15985589760.

The previous prime is 56884639363. The next prime is 56884639397. The reversal of 56884639392 is 29393648865.

56884639392 is a `hidden beast` number, since 5 + 6 + 88 + 463 + 9 + 3 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (56884639397) 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 47 ways as a sum of consecutive naturals, for example, 2571483 + ... + 2593509.

It is an arithmetic number, because the mean of its divisors is an integer number (681160830).

Almost surely, 256884639392 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 56884639392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98087159520).

56884639392 is an abundant number, since it is smaller than the sum of its proper divisors (139289679648).

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

56884639392 is a wasteful number, since it uses less digits than its factorization.

56884639392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22121 (or 22100 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 56884639392 in words is "fifty-six billion, eight hundred eighty-four million, six hundred thirty-nine thousand, three hundred ninety-two".