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56797395984 = 243272931233269
BaseRepresentation
bin110100111001011000…
…110111110000010000
312102121022022122221200
4310321120313300100
51412310113132414
642031541151200
74050330620520
oct647130676020
9172538278850
1056797395984
11220a671628a
12b0113bb500
1354820b9324
142a6b3cb680
1517264dd109
hexd39637c10

56797395984 has 480 divisors, whose sum is σ = 195544627200. Its totient is φ = 15041617920.

The previous prime is 56797395983. The next prime is 56797396003. The reversal of 56797395984 is 48959379765.

56797395984 is a `hidden beast` number, since 5 + 67 + 97 + 395 + 98 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56797395983) 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, 211142602 + ... + 211142870.

It is an arithmetic number, because the mean of its divisors is an integer number (407384640).

Almost surely, 256797395984 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 56797395984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97772313600).

56797395984 is an abundant number, since it is smaller than the sum of its proper divisors (138747231216).

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

56797395984 is a wasteful number, since it uses less digits than its factorization.

56797395984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 574 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 56797395984 in words is "fifty-six billion, seven hundred ninety-seven million, three hundred ninety-five thousand, nine hundred eighty-four".