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59138490312 = 233311371634127
BaseRepresentation
bin110111000100111011…
…011011111111001000
312122122110111120122000
4313010323123333020
51432103423142222
643100131031000
74162335605436
oct670473337710
9178573446560
1059138490312
1123098155090
12b56543b460
13576611c145
142c102b5d56
151811cca9ac
hexdc4edbfc8

59138490312 has 256 divisors, whose sum is σ = 185225011200. Its totient is φ = 17325239040.

The previous prime is 59138490289. The next prime is 59138490317. The reversal of 59138490312 is 21309483195.

It is a happy number.

59138490312 is a `hidden beast` number, since 591 + 3 + 8 + 49 + 0 + 3 + 12 = 666.

It is a super-2 number, since 2×591384903122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (59138490317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14327593 + ... + 14331719.

It is an arithmetic number, because the mean of its divisors is an integer number (723535200).

Almost surely, 259138490312 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 59138490312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92612505600).

59138490312 is an abundant number, since it is smaller than the sum of its proper divisors (126086520888).

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

59138490312 is a wasteful number, since it uses less digits than its factorization.

59138490312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 59138490312 in words is "fifty-nine billion, one hundred thirty-eight million, four hundred ninety thousand, three hundred twelve".