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56766703840 = 25572117173127
BaseRepresentation
bin110100110111100011…
…110010100011100000
312102112011120100020121
4310313203302203200
51412224234010330
642024523250024
74046506010200
oct646743624340
9172464510217
1056766703840
1122090362880
12b003079914
1354789312b2
142a672bc400
15172397917a
hexd378f28e0

56766703840 has 576 divisors, whose sum is σ = 176328327168. Its totient is φ = 17069875200.

The previous prime is 56766703831. The next prime is 56766703927. The reversal of 56766703840 is 4830766765.

It is a happy number.

56766703840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 446981857 + ... + 446981983.

It is an arithmetic number, because the mean of its divisors is an integer number (306125568).

Almost surely, 256766703840 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 56766703840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88164163584).

56766703840 is an abundant number, since it is smaller than the sum of its proper divisors (119561623328).

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

56766703840 is a wasteful number, since it uses less digits than its factorization.

56766703840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 56766703840 in words is "fifty-six billion, seven hundred sixty-six million, seven hundred three thousand, eight hundred forty".