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59328113120 = 255370800707
BaseRepresentation
bin110111010000001110…
…110010100111100000
312200010200022102012222
4313100032302213200
51433000444104440
643131023210212
74200130432553
oct672016624740
9180120272188
1059328113120
112318519a551
12b5b8a46968
1357964b1ca3
142c2b55669a
1518237852b5
hexdd03b29e0

59328113120 has 24 divisors (see below), whose sum is σ = 140162667624. Its totient is φ = 23731245184.

The previous prime is 59328113093. The next prime is 59328113171. The reversal of 59328113120 is 2131182395.

It is a super-2 number, since 2×593281131202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 185400194 + ... + 185400513.

It is an arithmetic number, because the mean of its divisors is an integer number (5840111151).

Almost surely, 259328113120 is an apocalyptic number.

It is an amenable number.

59328113120 is an abundant number, since it is smaller than the sum of its proper divisors (80834554504).

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

59328113120 is a wasteful number, since it uses less digits than its factorization.

59328113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370800722 (or 370800714 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 59328113120 in words is "fifty-nine billion, three hundred twenty-eight million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 370800707 741601414 1483202828 1854003535 2966405656 3708007070 5932811312 7416014140 11865622624 14832028280 29664056560 59328113120