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113972472000 = 2632535329867
BaseRepresentation
bin110101000100101001…
…0011110100011000000
3101220011221022110111200
41222021102132203000
53331403423101000
6124205213341200
711143226012322
oct1521122364300
9356157273450
10113972472000
1144376542122
121a109197800
13a99450085a
145732a0d612
152e70c31500
hex1a8949e8c0

113972472000 has 336 divisors, whose sum is σ = 415404860832. Its totient is φ = 29818214400.

The previous prime is 113972471927. The next prime is 113972472013. The reversal of 113972472000 is 274279311.

113972472000 is a `hidden beast` number, since 1 + 1 + 397 + 247 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3801067 + ... + 3830933.

Almost surely, 2113972472000 is an apocalyptic number.

113972472000 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 113972472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207702430416).

113972472000 is an abundant number, since it is smaller than the sum of its proper divisors (301432388832).

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

113972472000 is a wasteful number, since it uses less digits than its factorization.

113972472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29953 (or 29930 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 113972472000 in words is "one hundred thirteen billion, nine hundred seventy-two million, four hundred seventy-two thousand".