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11996371008 = 263274328031
BaseRepresentation
bin10110010110000101…
…00001100001000000
31010222001021210022100
423023002201201000
5144032032333013
65302215510400
7603165320406
oct131302414100
933861253270
1011996371008
1150a6703106
1223a9688400
131192493aab
1481b355476
154a32a5473
hex2cb0a1840

11996371008 has 84 divisors (see below), whose sum is σ = 34432939008. Its totient is φ = 3993265920.

The previous prime is 11996371001. The next prime is 11996371021. The reversal of 11996371008 is 80017369911.

11996371008 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 637 + 1 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11996371001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413953 + ... + 441983.

Almost surely, 211996371008 is an apocalyptic number.

11996371008 is a gapful number since it is divisible by the number (18) 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 11996371008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17216469504).

11996371008 is an abundant number, since it is smaller than the sum of its proper divisors (22436568000).

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

11996371008 is a wasteful number, since it uses less digits than its factorization.

11996371008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28792 (or 28779 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 11996371008 in words is "eleven billion, nine hundred ninety-six million, three hundred seventy-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 743 1486 2229 2972 4458 5944 6687 8916 11888 13374 17832 23776 26748 28031 35664 47552 53496 56062 71328 84093 106992 112124 142656 168186 213984 224248 252279 336372 427968 448496 504558 672744 896992 1009116 1345488 1793984 2018232 2690976 4036464 5381952 8072928 16145856 20827033 41654066 62481099 83308132 124962198 166616264 187443297 249924396 333232528 374886594 499848792 666465056 749773188 999697584 1332930112 1499546376 1999395168 2999092752 3998790336 5998185504 11996371008