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12886692856900 = 2252128866928569
BaseRepresentation
bin1011101110000110101011…
…0000000000010001000100
31200121221210210010021102221
42323201222300000101010
53142113421332410100
643224022011142124
72500014155645332
oct273415260002104
950557723107387
1012886692856900
114119241187075
12154163b444944
13726296277b05
14327a0d926b52
1517532c07a01a
hexbb86ac00444

12886692856900 has 18 divisors (see below), whose sum is σ = 27964123499690. Its totient is φ = 5154677142720.

The previous prime is 12886692856861. The next prime is 12886692856901. The reversal of 12886692856900 is 965829668821.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3178782331396 + 9707910525504 = 1782914^2 + 3115752^2 .

It is a super-2 number, since 2×128866928569002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12886692856900.

It is not an unprimeable number, because it can be changed into a prime (12886692856901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64433464185 + ... + 64433464384.

Almost surely, 212886692856900 is an apocalyptic number.

12886692856900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12886692856900 is an abundant number, since it is smaller than the sum of its proper divisors (15077430642790).

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

12886692856900 is a wasteful number, since it uses less digits than its factorization.

12886692856900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128866928583 (or 128866928576 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 70.

The spelling of 12886692856900 in words is "twelve trillion, eight hundred eighty-six billion, six hundred ninety-two million, eight hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 128866928569 257733857138 515467714276 644334642845 1288669285690 2577338571380 3221673214225 6443346428450 12886692856900