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18331849032 = 233735342017
BaseRepresentation
bin10001000100101010…
…011101000101001000
31202022120121102022120
4101010222131011020
5300020423132112
612231015051240
71216165101000
oct210452350510
952276542276
1018331849032
11785793a562
123677370b20
131961bccb63
14c5c931000
157245a8e8c
hex444a9d148

18331849032 has 128 divisors (see below), whose sum is σ = 54455328000. Its totient is φ = 5138724864.

The previous prime is 18331849013. The next prime is 18331849043. The reversal of 18331849032 is 23094813381.

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

It is an unprimeable number.

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, 415288 + ... + 457304.

It is an arithmetic number, because the mean of its divisors is an integer number (425432250).

Almost surely, 218331849032 is an apocalyptic number.

18331849032 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 18331849032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27227664000).

18331849032 is an abundant number, since it is smaller than the sum of its proper divisors (36123478968).

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

18331849032 is a wasteful number, since it uses less digits than its factorization.

18331849032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42100 (or 42082 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 18331849032 in words is "eighteen billion, three hundred thirty-one million, eight hundred forty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 53 56 84 98 106 147 159 168 196 212 294 318 343 371 392 424 588 636 686 742 1029 1113 1176 1272 1372 1484 2058 2226 2597 2744 2968 4116 4452 5194 7791 8232 8904 10388 15582 18179 20776 31164 36358 42017 54537 62328 72716 84034 109074 126051 145432 168068 218148 252102 294119 336136 436296 504204 588238 882357 1008408 1176476 1764714 2058833 2226901 2352952 3529428 4117666 4453802 6176499 6680703 7058856 8235332 8907604 12352998 13361406 14411831 15588307 16470664 17815208 24705996 26722812 28823662 31176614 43235493 46764921 49411992 53445624 57647324 62353228 86470986 93529842 109118149 115294648 124706456 172941972 187059684 218236298 327354447 345883944 374119368 436472596 654708894 763827043 872945192 1309417788 1527654086 2291481129 2618835576 3055308172 4582962258 6110616344 9165924516 18331849032