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113946244891920 = 2432571710769117987
BaseRepresentation
bin11001111010001000101101…
…011100110100010100010000
3112221110011011201112001112100
4121322020231130310110100
5104413343402143020140
61042202103211200400
733000226112612160
oct3172105534642420
9487404151461470
10113946244891920
113334137073a501
1210943666a46100
134b7711438011c
14201d055d465a0
15d2900b328530
hex67a22d734510

113946244891920 has 960 divisors, whose sum is σ = 468092321888256. Its totient is φ = 24247223009280.

The previous prime is 113946244891879. The next prime is 113946244891987. The reversal of 113946244891920 is 29198442649311.

113946244891920 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 4 + 62 + 4 + 489 + 1 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6334913167 + ... + 6334931153.

Almost surely, 2113946244891920 is an apocalyptic number.

113946244891920 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 113946244891920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234046160944128).

113946244891920 is an abundant number, since it is smaller than the sum of its proper divisors (354146076996336).

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

113946244891920 is a wasteful number, since it uses less digits than its factorization.

113946244891920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18828 (or 18819 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 113946244891920 in words is "one hundred thirteen trillion, nine hundred forty-six billion, two hundred forty-four million, eight hundred ninety-one thousand, nine hundred twenty".