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56652794923032 = 23347114672431301
BaseRepresentation
bin11001110000110100000011…
…01101111000100000011000
321102120221202200111211210000
430320122001231320200120
524411144411000014112
6320253533521053000
714635013033264610
oct1470320155704030
9242527680454700
1056652794923032
1117062351887130
12642b836487160
13257c4495203a9
14ddc01d26da40
15683a088907dc
hex338681b78818

56652794923032 has 320 divisors, whose sum is σ = 198258868304640. Its totient is φ = 14683495968000.

The previous prime is 56652794923027. The next prime is 56652794923063. The reversal of 56652794923032 is 23032949725665.

It is a happy number.

56652794923032 is a `hidden beast` number, since 5 + 6 + 6 + 527 + 9 + 49 + 2 + 30 + 32 = 666.

It is a super-2 number, since 2×566527949230322 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 22085782 + ... + 24517082.

It is an arithmetic number, because the mean of its divisors is an integer number (619558963452).

Almost surely, 256652794923032 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 56652794923032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99129434152320).

56652794923032 is an abundant number, since it is smaller than the sum of its proper divisors (141606073381608).

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

56652794923032 is a wasteful number, since it uses less digits than its factorization.

56652794923032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431804 (or 2431791 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 56652794923032 in words is "fifty-six trillion, six hundred fifty-two billion, seven hundred ninety-four million, nine hundred twenty-three thousand, thirty-two".