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12753024336 = 2432136812513
BaseRepresentation
bin10111110000010001…
…11011010101010000
31012220210001202112200
423320020323111100
5202104233234321
65505245323200
7631013626653
oct137010732520
935823052480
1012753024336
115454827a38
12257ab66500
13128317aa60
1488da3989a
154e9918d26
hex2f823b550

12753024336 has 60 divisors (see below), whose sum is σ = 38436203988. Its totient is φ = 3924006912.

The previous prime is 12753024287. The next prime is 12753024341. The reversal of 12753024336 is 63342035721.

12753024336 is a `hidden beast` number, since 1 + 275 + 30 + 24 + 336 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3908750400 + 8844273936 = 62520^2 + 94044^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12753024336.

It is a congruent number.

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, 3404385 + ... + 3408128.

Almost surely, 212753024336 is an apocalyptic number.

12753024336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12753024336 is an abundant number, since it is smaller than the sum of its proper divisors (25683179652).

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

12753024336 is a wasteful number, since it uses less digits than its factorization.

12753024336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812540 (or 6812531 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 12753024336 in words is "twelve billion, seven hundred fifty-three million, twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 6812513 13625026 20437539 27250052 40875078 54500104 61312617 81750156 88562669 109000208 122625234 163500312 177125338 245250468 265688007 327000624 354250676 490500936 531376014 708501352 797064021 981001872 1062752028 1417002704 1594128042 2125504056 3188256084 4251008112 6376512168 12753024336