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113632902552 = 23313739492839
BaseRepresentation
bin110100111010100001…
…1000111110110011000
3101212022021100112210110
41221311003013312120
53330210010340202
6124111403244320
711131633510041
oct1516503076630
9355267315713
10113632902552
11442118a1614
121a0335196a0
13a93c05a1a0
1456dd8998c8
152e5100826c
hex1a750c7d98

113632902552 has 64 divisors (see below), whose sum is σ = 306349344000. Its totient is φ = 34916586624.

The previous prime is 113632902533. The next prime is 113632902583. The reversal of 113632902552 is 255209236311.

It is a super-2 number, since 2×1136329025522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 113632902552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15852 + ... + 476987.

It is an arithmetic number, because the mean of its divisors is an integer number (4786708500).

Almost surely, 2113632902552 is an apocalyptic number.

113632902552 is a gapful number since it is divisible by the number (12) 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 113632902552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153174672000).

113632902552 is an abundant number, since it is smaller than the sum of its proper divisors (192716441448).

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

113632902552 is a wasteful number, since it uses less digits than its factorization.

113632902552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493600 (or 493596 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 113632902552 in words is "one hundred thirteen billion, six hundred thirty-two million, nine hundred two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 739 1478 2217 2956 4434 5912 8868 9607 17736 19214 28821 38428 57642 76856 115284 230568 492839 985678 1478517 1971356 2957034 3942712 5914068 6406907 11828136 12813814 19220721 25627628 38441442 51255256 76882884 153765768 364208021 728416042 1092624063 1456832084 2185248126 2913664168 4370496252 4734704273 8740992504 9469408546 14204112819 18938817092 28408225638 37877634184 56816451276 113632902552