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58980704640 = 27351121359331
BaseRepresentation
bin110110111011100001…
…100010000110000000
312122020110121020101020
4312323201202012000
51431243030022030
643032333105440
74155411501054
oct667341420600
9178213536336
1058980704640
1123017085400
12b520628280
13573c525540
142bd7361c64
15180300e510
hexdbb862180

58980704640 has 768 divisors, whose sum is σ = 226997164800. Its totient is φ = 12935577600.

The previous prime is 58980704633. The next prime is 58980704641. The reversal of 58980704640 is 4640708985.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58980704641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178189275 + ... + 178189605.

It is an arithmetic number, because the mean of its divisors is an integer number (295569225).

Almost surely, 258980704640 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 58980704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113498582400).

58980704640 is an abundant number, since it is smaller than the sum of its proper divisors (168016460160).

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

58980704640 is a wasteful number, since it uses less digits than its factorization.

58980704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 58980704640 in words is "fifty-eight billion, nine hundred eighty million, seven hundred four thousand, six hundred forty".