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56391596540928 = 21035111943151167
BaseRepresentation
bin11001101001001101100010…
…00101001000010000000000
321101122222120022200020100000
430310212301011020100000
524342404442203302203
6315533535233200000
714610105221543535
oct1464466105102000
9241588508606300
1056391596540928
1116a715a6137740
1263a909b700000
1325609213c80cc
14dcd5214aad8c
1567bd1c89c4a3
hex3349b1148400

56391596540928 has 2112 divisors, whose sum is σ = 200925942497280. Its totient is φ = 15613710336000.

The previous prime is 56391596540899. The next prime is 56391596540941. The reversal of 56391596540928 is 82904569519365.

56391596540928 is a `hidden beast` number, since 5 + 6 + 3 + 9 + 1 + 59 + 6 + 540 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 337674230701 + ... + 337674230867.

It is an arithmetic number, because the mean of its divisors is an integer number (95135389440).

Almost surely, 256391596540928 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 56391596540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100462971248640).

56391596540928 is an abundant number, since it is smaller than the sum of its proper divisors (144534345956352).

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

56391596540928 is a wasteful number, since it uses less digits than its factorization.

56391596540928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 56391596540928 in words is "fifty-six trillion, three hundred ninety-one billion, five hundred ninety-six million, five hundred forty thousand, nine hundred twenty-eight".