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113204256624 = 243229971012767
BaseRepresentation
bin110100101101101111…
…1111101111101110000
3101211012101210002010100
41221123133331331300
53323320242202444
6124001052032400
711115210206334
oct1513337757560
9354171702110
10113204256624
1144011940588
1219b33a62700
13a8a12c9044
14569c9997c4
152e28586e69
hex1a5b7fdf70

113204256624 has 240 divisors, whose sum is σ = 334517339520. Its totient is φ = 35688038400.

The previous prime is 113204256601. The next prime is 113204256637. The reversal of 113204256624 is 426652402311.

113204256624 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 0 + 4 + 25 + 6 + 624 = 666.

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

It is a congruent number.

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, 40910889 + ... + 40913655.

It is an arithmetic number, because the mean of its divisors is an integer number (1393822248).

Almost surely, 2113204256624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113204256624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167258669760).

113204256624 is an abundant number, since it is smaller than the sum of its proper divisors (221313082896).

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

113204256624 is a wasteful number, since it uses less digits than its factorization.

113204256624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 113204256624 its reverse (426652402311), we get a palindrome (539856658935).

The spelling of 113204256624 in words is "one hundred thirteen billion, two hundred four million, two hundred fifty-six thousand, six hundred twenty-four".