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56707153920 = 2153454273
BaseRepresentation
bin110100110100000000…
…101000000000000000
312102101000111220010000
4310310000220000000
51412114012411140
642014555040000
74045153566234
oct646400500000
9172330456100
1056707153920
112205a78a06a
12aba7140000
1354694b1161
142a5d41a5c4
15171d614a30
hexd34028000

56707153920 has 320 divisors, whose sum is σ = 203350124340. Its totient is φ = 15118368768.

The previous prime is 56707153901. The next prime is 56707153927. The reversal of 56707153920 is 2935170765.

It can be written as a sum of positive squares in 2 ways, for example, as 54688628736 + 2018525184 = 233856^2 + 44928^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56707153927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13268904 + ... + 13273176.

Almost surely, 256707153920 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 56707153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101675062170).

56707153920 is an abundant number, since it is smaller than the sum of its proper divisors (146642970420).

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

56707153920 is an frugal number, since it uses more digits than its factorization.

56707153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 56707153920 in words is "fifty-six billion, seven hundred seven million, one hundred fifty-three thousand, nine hundred twenty".