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12927985968 = 243793409279
BaseRepresentation
bin11000000101001000…
…10110100100110000
31020100222021201210010
430002210112210300
5202434031022333
65534455334520
7635240032122
oct140244264460
936328251703
1012927985968
115534569227
122609681440
1312b04a9551
148a8d81212
15509e79563
hex302916930

12927985968 has 40 divisors (see below), whose sum is σ = 33820057600. Its totient is φ = 4254778944.

The previous prime is 12927985963. The next prime is 12927985979. The reversal of 12927985968 is 86958972921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12927985899 and 12927985908.

It is not an unprimeable number, because it can be changed into a prime (12927985963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1700848 + ... + 1708431.

It is an arithmetic number, because the mean of its divisors is an integer number (845501440).

Almost surely, 212927985968 is an apocalyptic number.

It is an amenable number.

12927985968 is an abundant number, since it is smaller than the sum of its proper divisors (20892071632).

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

12927985968 is a wasteful number, since it uses less digits than its factorization.

12927985968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409369 (or 3409363 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 66.

The spelling of 12927985968 in words is "twelve billion, nine hundred twenty-seven million, nine hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 3409279 6818558 10227837 13637116 20455674 27274232 40911348 54548464 81822696 163645392 269333041 538666082 807999123 1077332164 1615998246 2154664328 3231996492 4309328656 6463992984 12927985968