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12660525361 = 1125321932
BaseRepresentation
bin10111100101010000…
…00100100100110001
31012200100000022210201
423302220010210301
5201412043302421
65452142555201
7625511455441
oct136250044461
935610008721
1012660525361
11540759a100
122553b98b01
131269c62533
1488163c121
154e1746b91
hex2f2a04931

12660525361 has 27 divisors (see below), whose sum is σ = 14257508097. Its totient is φ = 11233896960.

The previous prime is 12660525359. The next prime is 12660525391. The reversal of 12660525361 is 16352506621.

The square root of 12660525361 is 112519.

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 22268961 + 12638256400 = 4719^2 + 112420^2 .

It is not a de Polignac number, because 12660525361 - 21 = 12660525359 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12660525361.

It is not an unprimeable number, because it can be changed into a prime (12660525391) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65598481 + ... + 65598673.

Almost surely, 212660525361 is an apocalyptic number.

12660525361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12660525361 is the 112519-th square number.

12660525361 is the 56260-th centered octagonal number.

It is an amenable number.

12660525361 is a deficient number, since it is larger than the sum of its proper divisors (1596982736).

12660525361 is an frugal number, since it uses more digits than its factorization.

12660525361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 12660525361 in words is "twelve billion, six hundred sixty million, five hundred twenty-five thousand, three hundred sixty-one".

Divisors: 1 11 53 121 193 583 2123 2809 6413 10229 23353 30899 37249 112519 339889 409739 542137 1237709 1974197 4507129 5963507 21716167 65598577 104632441 238877837 1150956851 12660525361