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12318330672 = 24323710921211
BaseRepresentation
bin10110111100011101…
…01100111100110000
31011210111010000221100
423132032230330300
5200211443040142
65354200324400
7614155040334
oct133616547460
934714100840
1012318330672
11525141617a
122479473700
1312140acc7b
1484c0037c4
154c16a0b4c
hex2de3acf30

12318330672 has 120 divisors (see below), whose sum is σ = 35732462480. Its totient is φ = 3958295040.

The previous prime is 12318330659. The next prime is 12318330677. The reversal of 12318330672 is 27603381321.

12318330672 is a `hidden beast` number, since 1 + 2 + 318 + 330 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12318330677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570147 + ... + 591357.

Almost surely, 212318330672 is an apocalyptic number.

12318330672 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 12318330672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17866231240).

12318330672 is an abundant number, since it is smaller than the sum of its proper divisors (23414131808).

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

12318330672 is a wasteful number, since it uses less digits than its factorization.

12318330672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21371 (or 21362 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12318330672 in words is "twelve billion, three hundred eighteen million, three hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 109 111 144 148 218 222 296 327 333 436 444 592 654 666 872 888 981 1308 1332 1744 1776 1962 2616 2664 3924 4033 5232 5328 7848 8066 12099 15696 16132 21211 24198 32264 36297 42422 48396 63633 64528 72594 84844 96792 127266 145188 169688 190899 193584 254532 290376 339376 381798 509064 580752 763596 784807 1018128 1527192 1569614 2311999 2354421 3054384 3139228 4623998 4708842 6278456 6935997 7063263 9247996 9417684 12556912 13871994 14126526 18495992 18835368 20807991 27743988 28253052 36991984 37670736 41615982 55487976 56506104 83231964 85543963 110975952 113012208 166463928 171087926 256631889 332927856 342175852 513263778 684351704 769895667 1026527556 1368703408 1539791334 2053055112 3079582668 4106110224 6159165336 12318330672