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12538238265 = 345728115739
BaseRepresentation
bin10111010110101011…
…00101010100111001
31012100210220111110000
423223111211110321
5201134242111030
65432053543213
7622465160340
oct135325452471
935323814400
1012538238265
115354565a93
12251b044b09
13124a8175c7
1486d2c8b57
154d5b3d860
hex2eb565539

12538238265 has 80 divisors (see below), whose sum is σ = 25779853440. Its totient is φ = 5711005440.

The previous prime is 12538238261. The next prime is 12538238287. The reversal of 12538238265 is 56283283521.

12538238265 is a `hidden beast` number, since 1 + 2 + 5 + 382 + 3 + 8 + 265 = 666.

It is not a de Polignac number, because 12538238265 - 22 = 12538238261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12538238265.

It is not an unprimeable number, because it can be changed into a prime (12538238261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 788766 + ... + 804504.

It is an arithmetic number, because the mean of its divisors is an integer number (322248168).

Almost surely, 212538238265 is an apocalyptic number.

12538238265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12538238265 is an abundant number, since it is smaller than the sum of its proper divisors (13241615175).

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

12538238265 is a wasteful number, since it uses less digits than its factorization.

12538238265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16044 (or 16035 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 12538238265 in words is "twelve billion, five hundred thirty-eight million, two hundred thirty-eight thousand, two hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 281 315 405 567 843 945 1405 1967 2529 2835 4215 5901 7587 9835 12645 15739 17703 22761 29505 37935 47217 53109 78695 88515 110173 113805 141651 159327 236085 265545 330519 424953 550865 708255 796635 991557 1274859 1652595 2124765 2974671 4422659 4957785 6374295 8924013 13267977 14873355 22113295 30958613 39803931 44620065 66339885 92875839 119411793 154793065 199019655 278627517 358235379 464379195 597058965 835882551 1393137585 1791176895 2507647653 4179412755 12538238265