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12068767360 = 275131450573
BaseRepresentation
bin10110011110101101…
…01100011010000000
31011011002111220102201
423033112230122000
5144204101023420
65313323322544
7605034554446
oct131726543200
934132456381
1012068767360
115133560601
122409980454
1311a4491280
14826bdcb96
154a980610a
hex2cf5ac680

12068767360 has 64 divisors (see below), whose sum is σ = 31071295080. Its totient is φ = 4456157184.

The previous prime is 12068767349. The next prime is 12068767409. The reversal of 12068767360 is 6376786021.

It can be written as a sum of positive squares in 4 ways, for example, as 10914398784 + 1154368576 = 104472^2 + 33976^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12068767360.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716967 + ... + 733606.

Almost surely, 212068767360 is an apocalyptic number.

12068767360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12068767360 is an abundant number, since it is smaller than the sum of its proper divisors (19002527720).

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

12068767360 is a wasteful number, since it uses less digits than its factorization.

12068767360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450605 (or 1450593 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 12068767360 in words is "twelve billion, sixty-eight million, seven hundred sixty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 1450573 2901146 5802292 7252865 11604584 14505730 18857449 23209168 29011460 37714898 46418336 58022920 75429796 92836672 94287245 116045840 150859592 185673344 188574490 232091680 301719184 377148980 464183360 603438368 754297960 928366720 1206876736 1508595920 2413753472 3017191840 6034383680 12068767360