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12664692 = 2232351797
BaseRepresentation
bin110000010011…
…111101110100
3212211102200200
4300103331310
511220232232
61131240500
7212435205
oct60237564
925742620
1012664692
117170197
1242a9130
132815701
1419795ac
1511a277c
hexc13f74

12664692 has 18 divisors (see below), whose sum is σ = 32013618. Its totient is φ = 4221552.

The previous prime is 12664681. The next prime is 12664699. The reversal of 12664692 is 29646621.

12664692 is a `hidden beast` number, since 1 + 2 + 6 + 646 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7160976 + 5503716 = 2676^2 + 2346^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 351797 = 12664692 / (1 + 2 + 6 + 6 + 4 + 6 + 9 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12664699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175863 + ... + 175934.

Almost surely, 212664692 is an apocalyptic number.

12664692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12664692 is an abundant number, since it is smaller than the sum of its proper divisors (19348926).

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

12664692 is a wasteful number, since it uses less digits than its factorization.

12664692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351807 (or 351802 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12664692 is about 3558.7486564803. The cubic root of 12664692 is about 233.0942412585.

The spelling of 12664692 in words is "twelve million, six hundred sixty-four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 351797 703594 1055391 1407188 2110782 3166173 4221564 6332346 12664692