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56552760320 = 2105717101919
BaseRepresentation
bin110100101010110011…
…101010010000000000
312101222020222212220112
4310222303222100000
51411310001312240
641551401530452
74041300350150
oct645263522000
9171866885815
1056552760320
1121a90616951
12ab634a3a28
1354435044b4
142a46b0a760
15170ecb8665
hexd2acea400

56552760320 has 352 divisors, whose sum is σ = 165966174720. Its totient is φ = 18048614400.

The previous prime is 56552760301. The next prime is 56552760347. The reversal of 56552760320 is 2306725565.

It is a super-2 number, since 2×565527603202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61536821 + ... + 61537739.

Almost surely, 256552760320 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 56552760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82983087360).

56552760320 is an abundant number, since it is smaller than the sum of its proper divisors (109413414400).

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

56552760320 is a wasteful number, since it uses less digits than its factorization.

56552760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 41.

The spelling of 56552760320 in words is "fifty-six billion, five hundred fifty-two million, seven hundred sixty thousand, three hundred twenty".