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12810844225 = 52226372
BaseRepresentation
bin10111110111001010…
…11111100001000001
31020001210212022112001
423323211133201001
5202214034003400
65515112504001
7632315244034
oct137345374101
936053768461
1012810844225
115484429973
1225963ab001
1312921435ca
148975ab01b
154eea3aa6a
hex2fb95f841

12810844225 has 9 divisors (see below), whose sum is σ = 15886148617. Its totient is φ = 10248222640.

The previous prime is 12810844201. The next prime is 12810844289. The reversal of 12810844225 is 52244801821.

The square root of 12810844225 is 113185.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1805995009 + 11004849216 = 42497^2 + 104904^2 .

It is not a de Polignac number, because 12810844225 - 231 = 10663360577 is a prime.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 554607 + ... + 577243.

Almost surely, 212810844225 is an apocalyptic number.

12810844225 is the 113185-th square number.

12810844225 is the 56593-rd centered octagonal number.

It is an amenable number.

12810844225 is a deficient number, since it is larger than the sum of its proper divisors (3075304392).

12810844225 is an frugal number, since it uses more digits than its factorization.

12810844225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45284 (or 22642 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The spelling of 12810844225 in words is "twelve billion, eight hundred ten million, eight hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 22637 113185 565925 512433769 2562168845 12810844225