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113894668800 = 29325211172311
BaseRepresentation
bin110101000010010100…
…1101011101000000000
3101212222111220122120200
41222010221223220000
53331224013400200
6124153354005200
711141262465663
oct1520451535000
9355874818520
10113894668800
1144336631460
121a0a7116800
13a98135c363
1457265596da
152e68eb3800
hex1a84a6ba00

113894668800 has 1080 divisors, whose sum is σ = 473865286752. Its totient is φ = 25903104000.

The previous prime is 113894668757. The next prime is 113894668831. The reversal of 113894668800 is 8866498311.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 366220645 + ... + 366220955.

Almost surely, 2113894668800 is an apocalyptic number.

113894668800 is a gapful number since it is divisible by the number (10) 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 113894668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236932643376).

113894668800 is an abundant number, since it is smaller than the sum of its proper divisors (359970617952).

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

113894668800 is a wasteful number, since it uses less digits than its factorization.

113894668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 113894668800 in words is "one hundred thirteen billion, eight hundred ninety-four million, six hundred sixty-eight thousand, eight hundred".