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12663657 = 3217372237
BaseRepresentation
bin110000010011…
…101101101001
3212211101021100
4300103231221
511220214112
61131232013
7212432166
oct60235551
925741240
1012663657
11716a436
1242a8609
1328150b6
14197906d
1511a22dc
hexc13b69

12663657 has 24 divisors (see below), whose sum is σ = 19900296. Its totient is φ = 7727616.

The previous prime is 12663653. The next prime is 12663689. The reversal of 12663657 is 75636621.

12663657 is a `hidden beast` number, since 12 + 6 + 636 + 5 + 7 = 666.

12663657 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8088336 + 4575321 = 2844^2 + 2139^2 .

It is not a de Polignac number, because 12663657 - 22 = 12663653 is a prime.

It is a super-2 number, since 2×126636572 = 320736417227298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12663653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4543 + ... + 6779.

It is an arithmetic number, because the mean of its divisors is an integer number (829179).

Almost surely, 212663657 is an apocalyptic number.

12663657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12663657 is a deficient number, since it is larger than the sum of its proper divisors (7236639).

12663657 is a wasteful number, since it uses less digits than its factorization.

12663657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2294 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 12663657 is about 3558.6032372267. The cubic root of 12663657 is about 233.0878913446.

The spelling of 12663657 in words is "twelve million, six hundred sixty-three thousand, six hundred fifty-seven".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 2237 5661 6711 20133 38029 82769 114087 248307 342261 744921 1407073 4221219 12663657