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58930160520 = 233571123159317
BaseRepresentation
bin110110111000100000…
…101110001110001000
312122002221111022212210
4312320200232032020
51431142110114040
643023325505120
74154226046110
oct667040561610
9178087438783
1058930160520
1122aa05a2900
12b5077121a0
135731c0958a
142bd0766040
1517ed878480
hexdb882e388

58930160520 has 768 divisors, whose sum is σ = 233868902400. Its totient is φ = 11612620800.

The previous prime is 58930160431. The next prime is 58930160533. The reversal of 58930160520 is 2506103985.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185899402 + ... + 185899718.

It is an arithmetic number, because the mean of its divisors is an integer number (304516800).

Almost surely, 258930160520 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 58930160520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116934451200).

58930160520 is an abundant number, since it is smaller than the sum of its proper divisors (174938741880).

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

58930160520 is a wasteful number, since it uses less digits than its factorization.

58930160520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 58930160520 in words is "fifty-eight billion, nine hundred thirty million, one hundred sixty thousand, five hundred twenty".