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12068627936 = 251929684473
BaseRepresentation
bin10110011110101100…
…01010010111100000
31011011002020211011212
423033112022113200
5144204032043221
65313320325252
7605033434121
oct131726122740
934132224155
1012068627936
115133475882
122409913828
1311a4442981
14826ba4048
154a97c9b5b
hex2cf58a5e0

12068627936 has 48 divisors (see below), whose sum is σ = 25873117200. Its totient is φ = 5519582208.

The previous prime is 12068627903. The next prime is 12068627951. The reversal of 12068627936 is 63972686021.

It is a happy number.

12068627936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324605 + ... + 359868.

It is an arithmetic number, because the mean of its divisors is an integer number (539023275).

Almost surely, 212068627936 is an apocalyptic number.

12068627936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12068627936 is an abundant number, since it is smaller than the sum of its proper divisors (13804489264).

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

12068627936 is a wasteful number, since it uses less digits than its factorization.

12068627936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684531 (or 684523 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 12068627936 in words is "twelve billion, sixty-eight million, six hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 928 1102 2204 4408 8816 17632 684473 1368946 2737892 5475784 10951568 13004987 19849717 21903136 26009974 39699434 52019948 79398868 104039896 158797736 208079792 317595472 377144623 416159584 635190944 754289246 1508578492 3017156984 6034313968 12068627936