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93376876320 = 253257133719259
BaseRepresentation
bin101011011110110110…
…0100000111100100000
322221000121001210120200
41112331230200330200
53012213440020240
6110521410305200
76513652232010
oct1267554407440
9287017053520
1093376876320
11366678a3272
121611b888200
138a6160cc50
14473b5a9c40
152667a67930
hex15bdb20f20

93376876320 has 576 divisors, whose sum is σ = 402803331840. Its totient is φ = 19168026624.

The previous prime is 93376876247. The next prime is 93376876367. The reversal of 93376876320 is 2367867339.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4838851 + ... + 4858109.

It is an arithmetic number, because the mean of its divisors is an integer number (699311340).

Almost surely, 293376876320 is an apocalyptic number.

93376876320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93376876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201401665920).

93376876320 is an abundant number, since it is smaller than the sum of its proper divisors (309426455520).

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

93376876320 is a wasteful number, since it uses less digits than its factorization.

93376876320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19337 (or 19326 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 93376876320 in words is "ninety-three billion, three hundred seventy-six million, eight hundred seventy-six thousand, three hundred twenty".