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12744835038 = 2321364784181
BaseRepresentation
bin10111101111010011…
…01011111111011110
31012220012122200221100
423313221223333132
5202100134210123
65504354013530
7630554211315
oct136751537736
935805580840
1012744835038
115450144221
1225782772a6
131281571410
1488c90727c
154e8d4c643
hex2f7a6bfde

12744835038 has 48 divisors (see below), whose sum is σ = 29784265056. Its totient is φ = 3915380160.

The previous prime is 12744834997. The next prime is 12744835039. The reversal of 12744835038 is 83053844721.

12744835038 is a `hidden beast` number, since 1 + 27 + 44 + 83 + 503 + 8 = 666.

It is a super-2 number, since 2×127448350382 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12744834984 and 12744835002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12744835039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109308 + ... + 193488.

It is an arithmetic number, because the mean of its divisors is an integer number (620505522).

Almost surely, 212744835038 is an apocalyptic number.

12744835038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12744835038 is an abundant number, since it is smaller than the sum of its proper divisors (17039430018).

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

12744835038 is a wasteful number, since it uses less digits than its factorization.

12744835038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84849 (or 84846 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 12744835038 in words is "twelve billion, seven hundred forty-four million, eight hundred thirty-five thousand, thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 647 1294 1941 3882 5823 8411 11646 16822 25233 50466 75699 84181 151398 168362 252543 505086 757629 1094353 1515258 2188706 3283059 6566118 9849177 19698354 54465107 108930214 163395321 326790642 490185963 708046391 980371926 1416092782 2124139173 4248278346 6372417519 12744835038