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56130452889378 = 23731714946123357
BaseRepresentation
bin11001100001100111000111…
…01101001001111100100010
321100202000111202211020002120
430300303203231021330202
524324120131414430003
6315213550222325110
714552201643252000
oct1460634355117442
9240660452736076
1056130452889378
111698087837a10a
12636655b129796
13254210472647a
14dc0a2aab3a70
156751365ba853
hex330ce3b49f22

56130452889378 has 256 divisors, whose sum is σ = 139856492160000. Its totient is φ = 14959439523840.

The previous prime is 56130452889359. The next prime is 56130452889439. The reversal of 56130452889378 is 87398825403165.

56130452889378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2403141676 + ... + 2403165032.

It is an arithmetic number, because the mean of its divisors is an integer number (546314422500).

It is a 1-persistent number, because it is pandigital, but 2⋅56130452889378 = 112260905778756 is not.

Almost surely, 256130452889378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56130452889378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69928246080000).

56130452889378 is an abundant number, since it is smaller than the sum of its proper divisors (83726039270622).

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

56130452889378 is a wasteful number, since it uses less digits than its factorization.

56130452889378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24010 (or 23996 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 69.

The spelling of 56130452889378 in words is "fifty-six trillion, one hundred thirty billion, four hundred fifty-two million, eight hundred eighty-nine thousand, three hundred seventy-eight".