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12009458916 = 22327139193989
BaseRepresentation
bin10110010111101000…
…11100110011100100
31010222221220201112200
423023310130303210
5144043410141131
65303404214500
7603414500520
oct131364346344
933887821480
1012009458916
115103032264
1223b1b3a430
1311950c7010
1481cda0d80
154a44dd2e6
hex2cbd1cce4

12009458916 has 144 divisors (see below), whose sum is σ = 37412793600. Its totient is φ = 3163090176.

The previous prime is 12009458887. The next prime is 12009458921. The reversal of 12009458916 is 61985490021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3008650 + ... + 3012638.

Almost surely, 212009458916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12009458916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18706396800).

12009458916 is an abundant number, since it is smaller than the sum of its proper divisors (25403334684).

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

12009458916 is a wasteful number, since it uses less digits than its factorization.

12009458916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12009458916 in words is "twelve billion, nine million, four hundred fifty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 919 1092 1638 1838 2757 3276 3676 3989 5514 6433 7978 8271 11028 11947 11967 12866 15956 16542 19299 23894 23934 25732 27923 33084 35841 35901 38598 47788 47868 51857 55846 57897 71682 71802 77196 83629 83769 103714 107523 111692 115794 143364 143604 155571 167258 167538 207428 215046 231588 250887 251307 311142 334516 335076 362999 430092 466713 501774 502614 622284 725998 752661 933426 1003548 1005228 1088997 1451996 1505322 1866852 2177994 3010644 3266991 3665891 4355988 6533982 7331782 10997673 13067964 14663564 21995346 25661237 32993019 43990692 47656583 51322474 65986038 76983711 95313166 102644948 131972076 142969749 153967422 190626332 230951133 285939498 307934844 333596081 428909247 461902266 571878996 667192162 857818494 923804532 1000788243 1334384324 1715636988 2001576486 3002364729 4003152972 6004729458 12009458916