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118021105764 = 223231218472
BaseRepresentation
bin110110111101010011…
…0110010100001100100
3102021122002112100221100
41231322212302201210
53413201400341024
6130115041520100
711345446563312
oct1557246624144
9367562470840
10118021105764
1146063923641
121aa59043030
13b18b21c833
1459d85c30b2
15310b3b17c9
hex1b7a9b2864

118021105764 has 81 divisors (see below), whose sum is σ = 308432142291. Its totient is φ = 38050711920.

The previous prime is 118021105759. The next prime is 118021105781. The reversal of 118021105764 is 467501120811.

The square root of 118021105764 is 343542.

It is a perfect power (a square), and thus also a powerful number.

118021105764 is a `hidden beast` number, since 1 + 1 + 80 + 2 + 1 + 1 + 0 + 576 + 4 = 666.

118021105764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 26 ways as a sum of consecutive naturals, for example, 63897889 + ... + 63899735.

Almost surely, 2118021105764 is an apocalyptic number.

118021105764 is the 343542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118021105764

118021105764 is an abundant number, since it is smaller than the sum of its proper divisors (190411036527).

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

118021105764 is an equidigital number, since it uses as much as digits as its factorization.

118021105764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Multiplying 118021105764 by its sum of digits (36), we get a square (4248759807504 = 20612522).

118021105764 divided by its sum of digits (36) gives a square (3278364049 = 572572).

The spelling of 118021105764 in words is "one hundred eighteen billion, twenty-one million, one hundred five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1847 1922 2883 3694 3844 5541 5766 7388 8649 11082 11532 16623 17298 22164 33246 34596 57257 66492 114514 171771 229028 343542 515313 687084 1030626 1774967 2061252 3411409 3549934 5324901 6822818 7099868 10234227 10649802 13645636 15974703 20468454 21299604 30702681 31949406 40936908 61405362 63898812 105753679 122810724 211507358 317261037 423014716 634522074 951783111 1269044148 1903566222 3278364049 3807132444 6556728098 9835092147 13113456196 19670184294 29505276441 39340368588 59010552882 118021105764