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18038878164 = 22322068124229
BaseRepresentation
bin10000110011001100…
…110110111111010100
31201120011022221211200
4100303030312333110
5243420423100124
612141551432500
71206006635346
oct206314667724
951504287750
1018038878164
11771752717a
1235b5225730
1319162c3608
14c31a6b296
157089d7bc9
hex433336fd4

18038878164 has 36 divisors (see below), whose sum is σ = 45602362260. Its totient is φ = 6012420480.

The previous prime is 18038878153. The next prime is 18038878181. The reversal of 18038878164 is 46187883081.

It is a happy number.

18038878164 is a `hidden beast` number, since 180 + 388 + 7 + 81 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1805570064 + 16233308100 = 42492^2 + 127410^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×180388781642 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18038878164.

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 11 ways as a sum of consecutive naturals, for example, 732402 + ... + 756630.

It is an arithmetic number, because the mean of its divisors is an integer number (1266732285).

Almost surely, 218038878164 is an apocalyptic number.

It is an amenable number.

18038878164 is an abundant number, since it is smaller than the sum of its proper divisors (27563484096).

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

18038878164 is a wasteful number, since it uses less digits than its factorization.

18038878164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44920 (or 44915 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 18038878164 in words is "eighteen billion, thirty-eight million, eight hundred seventy-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 20681 24229 41362 48458 62043 72687 82724 96916 124086 145374 186129 218061 248172 290748 372258 436122 744516 872244 501079949 1002159898 1503239847 2004319796 3006479694 4509719541 6012959388 9019439082 18038878164