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12257067825 = 34526052873
BaseRepresentation
bin10110110101001010…
…00000001100110001
31011122012211120010000
423122211000030301
5200100302132300
65344131300213
7612512233422
oct133245001461
934565746100
1012257067825
11521a882522
122460a4a669
1312044b0272
14843c17649
154bb0edc00
hex2da940331

12257067825 has 30 divisors (see below), whose sum is σ = 22704330374. Its totient is φ = 6537101760.

The previous prime is 12257067821. The next prime is 12257067833. The reversal of 12257067825 is 52876075221.

12257067825 is a `hidden beast` number, since 1 + 2 + 2 + 570 + 6 + 78 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 438986304 + 11818081521 = 20952^2 + 108711^2 .

It is not a de Polignac number, because 12257067825 - 22 = 12257067821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12257067821) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3024412 + ... + 3028461.

Almost surely, 212257067825 is an apocalyptic number.

12257067825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12257067825 is a deficient number, since it is larger than the sum of its proper divisors (10447262549).

12257067825 is an equidigital number, since it uses as much as digits as its factorization.

12257067825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052895 (or 6052881 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 12257067825 in words is "twelve billion, two hundred fifty-seven million, sixty-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 6052873 18158619 30264365 54475857 90793095 151321825 163427571 272379285 453965475 490282713 817137855 1361896425 2451413565 4085689275 12257067825