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18505435182 = 2313318985991
BaseRepresentation
bin10001001111000000…
…101000100000101110
31202202200020111202020
4101033000220200232
5300344342411212
612300135411010
71223403414033
oct211700504056
952680214666
1018505435182
117936921393
123705523a66
13198bb69560
14c779d938a
15734946d8c
hex44f02882e

18505435182 has 64 divisors (see below), whose sum is σ = 41606369280. Its totient is φ = 5448326400.

The previous prime is 18505435171. The next prime is 18505435183. The reversal of 18505435182 is 28153450581.

It is a super-2 number, since 2×185054351822 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18505435183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172207 + ... + 258197.

It is an arithmetic number, because the mean of its divisors is an integer number (650099520).

Almost surely, 218505435182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18505435182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803184640).

18505435182 is an abundant number, since it is smaller than the sum of its proper divisors (23100934098).

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

18505435182 is a wasteful number, since it uses less digits than its factorization.

18505435182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86129.

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 18505435182 in words is "eighteen billion, five hundred five million, four hundred thirty-five thousand, one hundred eighty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 89 93 178 186 267 403 534 806 1157 1209 2314 2418 2759 3471 5518 6942 8277 16554 35867 71734 85991 107601 171982 215202 257973 515946 1117883 2235766 2665721 3353649 5331442 6707298 7653199 7997163 15306398 15994326 22959597 34654373 45919194 69308746 99491587 103963119 198983174 207926238 237249169 298474761 474498338 596949522 711747507 1423495014 3084239197 6168478394 9252717591 18505435182