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12116492928 = 273210517789
BaseRepresentation
bin10110100100011001…
…10000001010000000
31011021102022121121100
423102030300022000
5144303310233203
65322150254400
7606154330161
oct132214601200
934242277540
1012116492928
115158498521
122421957400
1311b1331357
1482d2a3768
154adad1ea3
hex2d2330280

12116492928 has 48 divisors (see below), whose sum is σ = 34866473850. Its totient is φ = 4038830592.

The previous prime is 12116492911. The next prime is 12116492939. The reversal of 12116492928 is 82929461121.

It is a happy number.

12116492928 is a `hidden beast` number, since 121 + 16 + 492 + 9 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6375703104 + 5740789824 = 79848^2 + 75768^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5257743 + ... + 5260046.

Almost surely, 212116492928 is an apocalyptic number.

12116492928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12116492928 is an abundant number, since it is smaller than the sum of its proper divisors (22749980922).

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

12116492928 is a wasteful number, since it uses less digits than its factorization.

12116492928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10517809 (or 10517794 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 12116492928 in words is "twelve billion, one hundred sixteen million, four hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10517789 21035578 31553367 42071156 63106734 84142312 94660101 126213468 168284624 189320202 252426936 336569248 378640404 504853872 673138496 757280808 1009707744 1346276992 1514561616 2019415488 3029123232 4038830976 6058246464 12116492928