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12643680200 = 235279512
BaseRepresentation
bin10111100011001111…
…10011111111001000
31012122011022111120212
423301213303333020
5201343240231300
65450341540252
7625215336254
oct136147637710
935564274525
1012643680200
1153a9034088
12254a414688
131266615098
1487d2d5264
154e001a935
hex2f19f3fc8

12643680200 has 36 divisors (see below), whose sum is σ = 29400254145. Its totient is φ = 5056836000.

The previous prime is 12643680197. The next prime is 12643680209. The reversal of 12643680200 is 208634621.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 12390806596 + 252873604 = 111314^2 + 15902^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=79510.

It is not an unprimeable number, because it can be changed into a prime (12643680209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1586225 + ... + 1594175.

Almost surely, 212643680200 is an apocalyptic number.

12643680200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12643680200 is an abundant number, since it is smaller than the sum of its proper divisors (16756573945).

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

12643680200 is an frugal number, since it uses more digits than its factorization.

12643680200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15918 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Multiplying 12643680200 by its sum of digits (32), we get a square (404597766400 = 6360802).

The spelling of 12643680200 in words is "twelve billion, six hundred forty-three million, six hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 7951 15902 31804 39755 63608 79510 159020 198775 318040 397550 795100 1590200 63218401 126436802 252873604 316092005 505747208 632184010 1264368020 1580460025 2528736040 3160920050 6321840100 12643680200