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58080176136 = 2332806669113
BaseRepresentation
bin110110000101110110…
…010010100000001000
312112220201002122111200
4312011312102200020
51422422011114021
642403123424200
74124165231403
oct660566224010
9175821078450
1058080176136
11226a4821a74
12b30ab25060
135627aa5438
142b4d908d3a
15179de2b126
hexd85d92808

58080176136 has 24 divisors (see below), whose sum is σ = 157300477230. Its totient is φ = 19360058688.

The previous prime is 58080176129. The next prime is 58080176171. The reversal of 58080176136 is 63167108085.

58080176136 is a `hidden beast` number, since 580 + 8 + 0 + 1 + 7 + 61 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54338407236 + 3741768900 = 233106^2 + 61170^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×580801761363 (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58080176091 and 58080176100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 403334485 + ... + 403334628.

Almost surely, 258080176136 is an apocalyptic number.

It is an amenable number.

58080176136 is an abundant number, since it is smaller than the sum of its proper divisors (99220301094).

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

58080176136 is a wasteful number, since it uses less digits than its factorization.

58080176136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806669125 (or 806669118 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 58080176136 in words is "fifty-eight billion, eighty million, one hundred seventy-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 806669113 1613338226 2420007339 3226676452 4840014678 6453352904 7260022017 9680029356 14520044034 19360058712 29040088068 58080176136