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59401800096 = 253976763353
BaseRepresentation
bin110111010100100111…
…111000100110100000
312200022210222002202020
4313110213320212200
51433123330100341
643142214421440
74202013653442
oct672447704640
9180283862666
1059401800096
1123212849681
12b619661880
1357a8841a52
142c37258492
151829e8d566
hexdd49f89a0

59401800096 has 48 divisors (see below), whose sum is σ = 155948151744. Its totient is φ = 19798260224.

The previous prime is 59401800079. The next prime is 59401800179. The reversal of 59401800096 is 69000810495.

59401800096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905956 + ... + 969308.

It is an arithmetic number, because the mean of its divisors is an integer number (3248919828).

Almost surely, 259401800096 is an apocalyptic number.

It is an amenable number.

59401800096 is an abundant number, since it is smaller than the sum of its proper divisors (96546351648).

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

59401800096 is a wasteful number, since it uses less digits than its factorization.

59401800096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73133 (or 73125 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 59401800096 in words is "fifty-nine billion, four hundred one million, eight hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 9767 19534 29301 39068 58602 63353 78136 117204 126706 156272 190059 234408 253412 312544 380118 468816 506824 760236 937632 1013648 1520472 2027296 3040944 6081888 618768751 1237537502 1856306253 2475075004 3712612506 4950150008 7425225012 9900300016 14850450024 19800600032 29700900048 59401800096