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12237362568 = 2332130372
BaseRepresentation
bin10110110010110011…
…10101010110001000
31011120211202102120200
423121121311112020
5200030231100233
65342145052200
7612152602614
oct133131652610
934524672520
1012237362568
11520a743692
122456327060
1312003a1052
14841368344
154b950a313
hex2d9675588

12237362568 has 36 divisors (see below), whose sum is σ = 33145399365. Its totient is φ = 4078807968.

The previous prime is 12237362563. The next prime is 12237362581. The reversal of 12237362568 is 86526373221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12237362568 is a `hidden beast` number, since 1 + 2 + 23 + 7 + 3 + 62 + 568 = 666.

12237362568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11842227684 + 395134884 = 108822^2 + 19878^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78222.

It is not an unprimeable number, because it can be changed into a prime (12237362563) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 932146 + ... + 945182.

Almost surely, 212237362568 is an apocalyptic number.

12237362568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12237362568 is an abundant number, since it is smaller than the sum of its proper divisors (20908036797).

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

12237362568 is an frugal number, since it uses more digits than its factorization.

12237362568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26086 (or 13042 counting only the distinct ones).

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

The spelling of 12237362568 in words is "twelve billion, two hundred thirty-seven million, three hundred sixty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13037 26074 39111 52148 78222 104296 117333 156444 234666 312888 469332 938664 169963369 339926738 509890107 679853476 1019780214 1359706952 1529670321 2039560428 3059340642 4079120856 6118681284 12237362568