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94913925120 = 2123357231113
BaseRepresentation
bin101100001100101001…
…1111001000000000000
3100001222201021222011000
41120121103321000000
53023340431100440
6111334114452000
76600025023600
oct1303123710000
9301881258130
1094913925120
1137286488833
121648a594000
138c47ba4691
144845794c00
15270797e730
hex16194f9000

94913925120 has 1248 divisors, whose sum is σ = 408768906240. Its totient is φ = 20808990720.

The previous prime is 94913925091. The next prime is 94913925143. The reversal of 94913925120 is 2152931949.

94913925120 is a `hidden beast` number, since 9 + 49 + 1 + 3 + 92 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 839946184 + ... + 839946296.

Almost surely, 294913925120 is an apocalyptic number.

94913925120 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 94913925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204384453120).

94913925120 is an abundant number, since it is smaller than the sum of its proper divisors (313854981120).

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

94913925120 is a wasteful number, since it uses less digits than its factorization.

94913925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 94913925120 in words is "ninety-four billion, nine hundred thirteen million, nine hundred twenty-five thousand, one hundred twenty".