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12691314225 = 335229648343
BaseRepresentation
bin10111101000111011…
…00001011000110001
31012202110221120012000
423310131201120301
5201442434023400
65455202524213
7626334251052
oct136435413061
935673846160
1012691314225
115422a09247
122562366669
1312734525b5
14885774729
154e42c9600
hex2f4761631

12691314225 has 48 divisors (see below), whose sum is σ = 24118396800. Its totient is φ = 6535287360.

The previous prime is 12691314217. The next prime is 12691314269. The reversal of 12691314225 is 52241319621.

12691314225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12691314225 - 23 = 12691314217 is a prime.

It is a super-2 number, since 2×126913142252 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12691314225.

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 47 ways as a sum of consecutive naturals, for example, 304597 + ... + 343746.

It is an arithmetic number, because the mean of its divisors is an integer number (502466600).

Almost surely, 212691314225 is an apocalyptic number.

12691314225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12691314225 is a deficient number, since it is larger than the sum of its proper divisors (11427082575).

12691314225 is a wasteful number, since it uses less digits than its factorization.

12691314225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648391 (or 648380 counting only the distinct ones).

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

The spelling of 12691314225 in words is "twelve billion, six hundred ninety-one million, three hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 87 135 145 225 261 435 675 725 783 1305 2175 3915 6525 19575 648343 1945029 3241715 5835087 9725145 16208575 17505261 18801947 29175435 48625725 56405841 87526305 94009735 145877175 169217523 282029205 437631525 470048675 507652569 846087615 1410146025 2538262845 4230438075 12691314225