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12536140338 = 2331376772503
BaseRepresentation
bin10111010110011011…
…00101001000110010
31012100122221220122000
423223031211020302
5201133222442323
65431540554430
7622441302051
oct135315451062
935318856560
1012536140338
115353362867
12251a3b2a16
13124a261727
1486cd00398
154d5876e43
hex2eb365232

12536140338 has 64 divisors (see below), whose sum is σ = 28114110720. Its totient is φ = 4140429696.

The previous prime is 12536140333. The next prime is 12536140339. The reversal of 12536140338 is 83304163521.

12536140338 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 614 + 0 + 3 + 38 = 666.

12536140338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12536140333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5007195 + ... + 5009697.

It is an arithmetic number, because the mean of its divisors is an integer number (439282980).

Almost surely, 212536140338 is an apocalyptic number.

12536140338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12536140338 is an abundant number, since it is smaller than the sum of its proper divisors (15577970382).

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

12536140338 is a wasteful number, since it uses less digits than its factorization.

12536140338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12536140338 in words is "twelve billion, five hundred thirty-six million, one hundred forty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 137 274 411 677 822 1233 1354 2031 2466 2503 3699 4062 5006 6093 7398 7509 12186 15018 18279 22527 36558 45054 67581 92749 135162 185498 278247 342911 556494 685822 834741 1028733 1669482 1694531 2057466 2504223 3086199 3389062 5008446 5083593 6172398 9258597 10167186 15250779 18517194 30501558 45752337 91504674 232150747 464301494 696452241 1392904482 2089356723 4178713446 6268070169 12536140338