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12898626336 = 2532283315809
BaseRepresentation
bin11000000001101000…
…10110101100100000
31020021221001002221100
430000310112230200
5202404022020321
65531530154400
7634432341411
oct140064265440
936257032840
1012898626336
115519a35972
1225bb882a00
1312a7399b9b
148a50db808
155075ca326
hex300d16b20

12898626336 has 72 divisors (see below), whose sum is σ = 36695737260. Its totient is φ = 4297752576.

The previous prime is 12898626319. The next prime is 12898626353. The reversal of 12898626336 is 63362689821.

12898626336 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 8 + 626 + 3 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12898626319) and next prime (12898626353).

It can be written as a sum of positive squares in 2 ways, for example, as 11372942736 + 1525683600 = 106644^2 + 39060^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×128986263362 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 808000 + ... + 823808.

Almost surely, 212898626336 is an apocalyptic number.

12898626336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12898626336 is an abundant number, since it is smaller than the sum of its proper divisors (23797110924).

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

12898626336 is a wasteful number, since it uses less digits than its factorization.

12898626336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18658 (or 18647 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 12898626336 in words is "twelve billion, eight hundred ninety-eight million, six hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2833 5666 8499 11332 15809 16998 22664 25497 31618 33996 45328 47427 50994 63236 67992 90656 94854 101988 126472 135984 142281 189708 203976 252944 271968 284562 379416 407952 505888 569124 758832 815904 1138248 1517664 2276496 4552992 44786897 89573794 134360691 179147588 268721382 358295176 403082073 537442764 716590352 806164146 1074885528 1433180704 1612328292 2149771056 3224656584 4299542112 6449313168 12898626336