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56779928352 = 253272311071213
BaseRepresentation
bin110100111000010110…
…001111001100100000
312102120002110012212100
4310320112033030200
51412241130201402
642030114530400
74050026266500
oct647026171440
9172502405770
1056779928352
1122097875624
12b007596a00
13547b5b1754
142a68d61a00
151724bdc71c
hexd3858f320

56779928352 has 432 divisors, whose sum is σ = 195862447872. Its totient is φ = 15539973120.

The previous prime is 56779928333. The next prime is 56779928389. The reversal of 56779928352 is 25382997765.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56779928352.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46808898 + ... + 46810110.

It is an arithmetic number, because the mean of its divisors is an integer number (453385296).

Almost surely, 256779928352 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 56779928352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97931223936).

56779928352 is an abundant number, since it is smaller than the sum of its proper divisors (139082519520).

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

56779928352 is a wasteful number, since it uses less digits than its factorization.

56779928352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1363 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 56779928352 in words is "fifty-six billion, seven hundred seventy-nine million, nine hundred twenty-eight thousand, three hundred fifty-two".