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18162087216 = 24371335311779
BaseRepresentation
bin10000111010100010…
…110111010100110000
31201212202011121212220
4100322202313110300
5244143443242331
612202112321040
71212034123410
oct207242672460
951782147786
1018162087216
11778002aa39
12362a543180
1319359a2090
14c44180640
15714724296
hex43a8b7530

18162087216 has 160 divisors (see below), whose sum is σ = 57914626560. Its totient is φ = 4776026112.

The previous prime is 18162087191. The next prime is 18162087253. The reversal of 18162087216 is 61278026181.

It is a super-2 number, since 2×181620872162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1536015 + ... + 1547793.

It is an arithmetic number, because the mean of its divisors is an integer number (361966416).

Almost surely, 218162087216 is an apocalyptic number.

18162087216 is a gapful number since it is divisible by the number (16) 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 18162087216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957313280).

18162087216 is an abundant number, since it is smaller than the sum of its proper divisors (39752539344).

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

18162087216 is a wasteful number, since it uses less digits than its factorization.

18162087216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12163 (or 12157 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 18162087216 in words is "eighteen billion, one hundred sixty-two million, eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 353 364 546 624 706 728 1059 1092 1412 1456 2118 2184 2471 2824 4236 4368 4589 4942 5648 7413 8472 9178 9884 11779 13767 14826 16944 18356 19768 23558 27534 29652 32123 35337 36712 39536 47116 55068 59304 64246 70674 73424 82453 94232 96369 110136 118608 128492 141348 153127 164906 188464 192738 220272 247359 256984 282696 306254 329812 385476 459381 494718 513968 565392 612508 659624 770952 918762 989436 1071889 1225016 1319248 1541904 1837524 1978872 2143778 2450032 3215667 3675048 3957744 4157987 4287556 6431334 7350096 8315974 8575112 12473961 12862668 16631948 17150224 24947922 25725336 29105909 33263896 49895844 51450672 54053831 58211818 66527792 87317727 99791688 108107662 116423636 162161493 174635454 199583376 216215324 232847272 324322986 349270908 378376817 432430648 465694544 648645972 698541816 756753634 864861296 1135130451 1297291944 1397083632 1513507268 2270260902 2594583888 3027014536 4540521804 6054029072 9081043608 18162087216