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113724403056 = 24341117469253
BaseRepresentation
bin110100111101010000…
…0001010110101110000
3101212112122112020220000
41221322200022311300
53330401421344211
6124124432350000
711134124322255
oct1517240126560
9355478466800
10113724403056
1144259508270
121a05a0a5300
13a954cb60b4
14570bab742c
152e5907e656
hex1a7a80ad70

113724403056 has 200 divisors, whose sum is σ = 380197098864. Its totient is φ = 32434698240.

The previous prime is 113724403033. The next prime is 113724403069. The reversal of 113724403056 is 650304427311.

113724403056 is a `hidden beast` number, since 1 + 137 + 2 + 440 + 30 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113724403056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7726 + ... + 476978.

Almost surely, 2113724403056 is an apocalyptic number.

113724403056 is a gapful number since it is divisible by the number (16) 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 113724403056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190098549432).

113724403056 is an abundant number, since it is smaller than the sum of its proper divisors (266472695808).

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

113724403056 is a wasteful number, since it uses less digits than its factorization.

113724403056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469301 (or 469286 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 113724403056 in words is "one hundred thirteen billion, seven hundred twenty-four million, four hundred three thousand, fifty-six".