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12638900025 = 325256172889
BaseRepresentation
bin10111100010101011…
…00100111100111001
31012121211022122102100
423301111210330321
5201341024300100
65450051254013
7625126610013
oct136125447471
935554278370
1012638900025
1153a6369724
1225488aa309
13126563038b
1487c80d1b3
154de8c4400
hex2f1564f39

12638900025 has 18 divisors (see below), whose sum is σ = 22637674670. Its totient is φ = 6740746560.

The previous prime is 12638900003. The next prime is 12638900081. The reversal of 12638900025 is 52000983621.

12638900025 is a `hidden beast` number, since 12 + 638 + 9 + 0 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 104530176 + 12534369849 = 10224^2 + 111957^2 .

It is not a de Polignac number, because 12638900025 - 210 = 12638899001 is a prime.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 28086220 + ... + 28086669.

Almost surely, 212638900025 is an apocalyptic number.

12638900025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12638900025 is a deficient number, since it is larger than the sum of its proper divisors (9998774645).

12638900025 is a wasteful number, since it uses less digits than its factorization.

12638900025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56172905 (or 56172897 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12638900025 in words is "twelve billion, six hundred thirty-eight million, nine hundred thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 56172889 168518667 280864445 505556001 842593335 1404322225 2527780005 4212966675 12638900025