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56929013568 = 2635717191619
BaseRepresentation
bin110101000001001110…
…111100111101000000
312102221110222112100000
4311001032330331000
51413042311413233
642053002200000
74053516426330
oct650116747500
9172843875300
1056929013568
1122163a42549
12b0494b3000
1354a345015b
142a80a8d0c0
151732d3ad13
hexd413bcf40

56929013568 has 672 divisors, whose sum is σ = 215681356800. Its totient is φ = 14493966336.

The previous prime is 56929013567. The next prime is 56929013579. The reversal of 56929013568 is 86531092965.

It is a happy number.

56929013568 is a `hidden beast` number, since 5 + 69 + 2 + 9 + 0 + 13 + 568 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56929013563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35162263 + ... + 35163881.

It is an arithmetic number, because the mean of its divisors is an integer number (320954400).

Almost surely, 256929013568 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 56929013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107840678400).

56929013568 is an abundant number, since it is smaller than the sum of its proper divisors (158752343232).

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

56929013568 is a wasteful number, since it uses less digits than its factorization.

56929013568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 56929013568 in words is "fifty-six billion, nine hundred twenty-nine million, thirteen thousand, five hundred sixty-eight".