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116138349852 = 2237101100913567
BaseRepresentation
bin110110000101001100…
…0101001010100011100
3102002202212210110100220
41230022120221110130
53400322404143402
6125204143521340
711251005454110
oct1541230512434
9362685713326
10116138349852
1145288086218
121a6125b9250
13ac4b145b95
14589a527740
15304ae5cdbc
hex1b0a62951c

116138349852 has 96 divisors (see below), whose sum is σ = 313101680640. Its totient is φ = 32818867200.

The previous prime is 116138349707. The next prime is 116138349853. The reversal of 116138349852 is 258943831611.

It is a junction number, because it is equal to n+sod(n) for n = 116138349795 and 116138349804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116138349853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8553573 + ... + 8567139.

It is an arithmetic number, because the mean of its divisors is an integer number (3261475840).

Almost surely, 2116138349852 is an apocalyptic number.

116138349852 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 116138349852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156550840320).

116138349852 is an abundant number, since it is smaller than the sum of its proper divisors (196963330788).

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

116138349852 is a wasteful number, since it uses less digits than its factorization.

116138349852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14691 (or 14689 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 116138349852 in words is "one hundred sixteen billion, one hundred thirty-eight million, three hundred forty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1009 1212 1414 2018 2121 2828 3027 4036 4242 6054 7063 8484 12108 13567 14126 21189 27134 28252 40701 42378 54268 81402 84756 94969 101909 162804 189938 203818 284907 305727 379876 407636 569814 611454 713363 1139628 1222908 1370267 1426726 2140089 2740534 2853452 4110801 4280178 5481068 8221602 8560356 9591869 13689103 16443204 19183738 27378206 28775607 38367476 41067309 54756412 57551214 82134618 95823721 115102428 164269236 191647442 287471163 383294884 574942326 1149884652 1382599403 2765198806 4147798209 5530397612 8295596418 9678195821 16591192836 19356391642 29034587463 38712783284 58069174926 116138349852