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12753064368 = 24321153151909
BaseRepresentation
bin10111110000010010…
…00101000110110000
31012220210010210110100
423320021011012300
5202104241024433
65505250232400
7631014154452
oct137011050660
935823123410
1012753064368
115454855020
12257ab85700
131283193045
1488da4a2d2
154e9925b13
hex2f82451b0

12753064368 has 120 divisors (see below), whose sum is σ = 39670385040. Its totient is φ = 3791623680.

The previous prime is 12753064367. The next prime is 12753064397. The reversal of 12753064368 is 86346035721.

12753064368 is a `hidden beast` number, since 1 + 27 + 530 + 64 + 36 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12753064361) 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, 7998 + ... + 159906.

It is an arithmetic number, because the mean of its divisors is an integer number (330586542).

Almost surely, 212753064368 is an apocalyptic number.

12753064368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12753064368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835192520).

12753064368 is an abundant number, since it is smaller than the sum of its proper divisors (26917320672).

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

12753064368 is a wasteful number, since it uses less digits than its factorization.

12753064368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151987 (or 151978 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12753064368 in words is "twelve billion, seven hundred fifty-three million, sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 53 66 72 88 99 106 132 144 159 176 198 212 264 318 396 424 477 528 583 636 792 848 954 1166 1272 1584 1749 1908 2332 2544 3498 3816 4664 5247 6996 7632 9328 10494 13992 20988 27984 41976 83952 151909 303818 455727 607636 911454 1215272 1367181 1670999 1822908 2430544 2734362 3341998 3645816 5012997 5468724 6683996 7291632 8051177 10025994 10937448 13367992 15038991 16102354 20051988 21874896 24153531 26735984 30077982 32204708 40103976 48307062 60155964 64409416 72460593 80207952 88562947 96614124 120311928 128818832 144921186 177125894 193228248 240623856 265688841 289842372 354251788 386456496 531377682 579684744 708503576 797066523 1062755364 1159369488 1417007152 1594133046 2125510728 3188266092 4251021456 6376532184 12753064368