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12237605376 = 2938989519
BaseRepresentation
bin10110110010110101…
…10000101000000000
31011120212012202122120
423121122300220000
5200030311333001
65342154204240
7612154633533
oct133132605000
934525182576
1012237605376
11520a89a057
122456423680
131200457719
148413cca1a
154b9557236
hex2d96b0a00

12237605376 has 80 divisors (see below), whose sum is σ = 32968425600. Its totient is φ = 4033323008.

The previous prime is 12237605371. The next prime is 12237605389. The reversal of 12237605376 is 67350673221.

It is not an unprimeable number, because it can be changed into a prime (12237605371) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 91945 + ... + 181463.

It is an arithmetic number, because the mean of its divisors is an integer number (412105320).

Almost surely, 212237605376 is an apocalyptic number.

12237605376 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 12237605376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484212800).

12237605376 is an abundant number, since it is smaller than the sum of its proper divisors (20730820224).

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

12237605376 is an frugal number, since it uses more digits than its factorization.

12237605376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89629 (or 89613 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 12237605376 in words is "twelve billion, two hundred thirty-seven million, six hundred five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1068 1424 1536 2136 2848 4272 5696 8544 11392 17088 22784 34176 45568 68352 89519 136704 179038 268557 358076 537114 716152 1074228 1432304 2148456 2864608 4296912 5729216 7967191 8593824 11458432 15934382 17187648 22916864 23901573 31868764 34375296 45833728 47803146 63737528 68750592 95606292 127475056 137501184 191212584 254950112 382425168 509900224 764850336 1019800448 1529700672 2039600896 3059401344 4079201792 6118802688 12237605376