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12686331900 = 22352113844343
BaseRepresentation
bin10111101000010101…
…00000111111111100
31012202010120102201110
423310022200333330
5201440200110100
65454504042020
7626244020244
oct136412407774
935663512643
1012686331900
115420115a20
122560763310
1312723c9888
14884c38b24
154e3b43250
hex2f42a0ffc

12686331900 has 72 divisors (see below), whose sum is σ = 40042687104. Its totient is φ = 3075473600.

The previous prime is 12686331887. The next prime is 12686331907. The reversal of 12686331900 is 913368621.

It is a super-2 number, since 2×126863319002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12686331907) 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, 1918872 + ... + 1925471.

It is an arithmetic number, because the mean of its divisors is an integer number (556148432).

Almost surely, 212686331900 is an apocalyptic number.

12686331900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12686331900 is an abundant number, since it is smaller than the sum of its proper divisors (27356355204).

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

12686331900 is a wasteful number, since it uses less digits than its factorization.

12686331900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844371 (or 3844364 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 12686331900 in words is "twelve billion, six hundred eighty-six million, three hundred thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3844343 7688686 11533029 15377372 19221715 23066058 38443430 42287773 46132116 57665145 76886860 84575546 96108575 115330290 126863319 169151092 192217150 211438865 230660580 253726638 288325725 384434300 422877730 507453276 576651450 634316595 845755460 1057194325 1153302900 1268633190 2114388650 2537266380 3171582975 4228777300 6343165950 12686331900