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18437184012 = 223131717938839
BaseRepresentation
bin10001001010111100…
…010001101000001100
31202120220210222202010
4101022330101220030
5300224404342022
612245300501220
71221614323032
oct211274215014
952526728663
1018437184012
117901345265
1236a66aa810
13197a990a50
14c6c910552
1572d96450c
hex44af11a0c

18437184012 has 96 divisors (see below), whose sum is σ = 49329907200. Its totient is φ = 5309309952.

The previous prime is 18437184011. The next prime is 18437184023. The reversal of 18437184012 is 21048173481.

It is a super-2 number, since 2×184371840122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (18437184011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455289 + ... + 494127.

It is an arithmetic number, because the mean of its divisors is an integer number (513853200).

Almost surely, 218437184012 is an apocalyptic number.

18437184012 is a gapful number since it is divisible by the number (12) 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 18437184012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24664953600).

18437184012 is an abundant number, since it is smaller than the sum of its proper divisors (30892723188).

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

18437184012 is a wasteful number, since it uses less digits than its factorization.

18437184012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39055 (or 39053 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 18437184012 in words is "eighteen billion, four hundred thirty-seven million, one hundred eighty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 179 204 221 358 442 537 663 716 884 1074 1326 2148 2327 2652 3043 4654 6086 6981 9129 9308 12172 13962 18258 27924 36516 38839 39559 77678 79118 116517 118677 155356 158236 233034 237354 466068 474708 504907 660263 1009814 1320526 1514721 1980789 2019628 2641052 3029442 3961578 6058884 6952181 7923156 8583419 13904362 17166838 20856543 25750257 27808724 34333676 41713086 51500514 83426172 90378353 103001028 118187077 180756706 236374154 271135059 354561231 361513412 472748308 542270118 709122462 1084540236 1418244924 1536432001 3072864002 4609296003 6145728004 9218592006 18437184012