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18034585668 = 223211314793067
BaseRepresentation
bin10000110010111100…
…011111000001000100
31201112212020212122100
4100302330133001010
5243413323220133
612141315432100
71205625306651
oct206274370104
951485225570
1018034585668
117715065160
1235b38b5630
13191544c888
14c31270c28
1570843ae13
hex432f1f044

18034585668 has 144 divisors (see below), whose sum is σ = 51459932160. Its totient is φ = 5275972800.

The previous prime is 18034585651. The next prime is 18034585669. The reversal of 18034585668 is 86658543081.

18034585668 is a `hidden beast` number, since 1 + 80 + 3 + 458 + 56 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (18034585669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5878671 + ... + 5881737.

It is an arithmetic number, because the mean of its divisors is an integer number (357360640).

Almost surely, 218034585668 is an apocalyptic number.

18034585668 is a gapful number since it is divisible by the number (18) 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 18034585668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25729966080).

18034585668 is an abundant number, since it is smaller than the sum of its proper divisors (33425346492).

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

18034585668 is a wasteful number, since it uses less digits than its factorization.

18034585668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 18034585668 in words is "eighteen billion, thirty-four million, five hundred eighty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 479 558 682 958 1023 1116 1364 1437 1916 2046 2874 3067 3069 4092 4311 5269 5748 6134 6138 8622 9201 10538 12268 12276 14849 15807 17244 18402 21076 27603 29698 31614 33737 36804 44547 47421 55206 59396 63228 67474 89094 94842 95077 101211 110412 133641 134948 163339 178188 189684 190154 202422 267282 285231 303633 326678 380308 404844 490017 534564 570462 607266 653356 855693 980034 1045847 1140924 1214532 1469093 1470051 1711386 1960068 2091694 2938186 2940102 3137541 3422772 4183388 4407279 5876372 5880204 6275082 8814558 9412623 12550164 13221837 16160023 17629116 18825246 26443674 32320046 37650492 45541883 48480069 52887348 64640092 91083766 96960138 136625649 145440207 182167532 193920276 273251298 290880414 409876947 500960713 546502596 581760828 819753894 1001921426 1502882139 1639507788 2003842852 3005764278 4508646417 6011528556 9017292834 18034585668