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12638756331 = 325949947699
BaseRepresentation
bin10111100010101010…
…00001110111101011
31012121211001100022100
423301111001313223
5201341010200311
65450044224443
7625125441045
oct136125016753
935554040270
1012638756331
1153a6280773
12254883b123
1312655acb56
1487c7b2a95
154de896a56
hex2f1541deb

12638756331 has 24 divisors (see below), whose sum is σ = 18603000000. Its totient is φ = 8266254192.

The previous prime is 12638756321. The next prime is 12638756341. The reversal of 12638756331 is 13365783621.

12638756331 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 8 + 7 + 5 + 633 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12638756321) and next prime (12638756341).

It is not a de Polignac number, because 12638756331 - 211 = 12638754283 is a prime.

It is a super-2 number, since 2×126387563312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12638756321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241120 + ... + 288818.

It is an arithmetic number, because the mean of its divisors is an integer number (775125000).

Almost surely, 212638756331 is an apocalyptic number.

12638756331 is a deficient number, since it is larger than the sum of its proper divisors (5964243669).

12638756331 is a wasteful number, since it uses less digits than its factorization.

12638756331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48263 (or 48260 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 12638756331 in words is "twelve billion, six hundred thirty-eight million, seven hundred fifty-six thousand, three hundred thirty-one".

Divisors: 1 3 9 59 177 499 531 1497 4491 29441 47699 88323 143097 264969 429291 2814241 8442723 23801801 25328169 71405403 214216209 1404306259 4212918777 12638756331