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131664609 = 341795617
BaseRepresentation
bin1111101100100…
…00101011100001
3100011202020220000
413312100223201
5232201231414
621022010213
73156062556
oct766205341
9304666800
10131664609
116835962a
1238116969
132137c36b
14136b4a2d
15b85bb09
hex7d90ae1

131664609 has 20 divisors (see below), whose sum is σ = 208256004. Its totient is φ = 82612224.

The previous prime is 131664607. The next prime is 131664613. The reversal of 131664609 is 906466131.

131664609 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 646 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64883025 + 66781584 = 8055^2 + 8172^2 .

It is not a de Polignac number, because 131664609 - 21 = 131664607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131664607) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46432 + ... + 49185.

Almost surely, 2131664609 is an apocalyptic number.

It is an amenable number.

131664609 is a deficient number, since it is larger than the sum of its proper divisors (76591395).

131664609 is an equidigital number, since it uses as much as digits as its factorization.

131664609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95646 (or 95637 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 131664609 is about 11474.5199899604. The cubic root of 131664609 is about 508.7327360239.

The spelling of 131664609 in words is "one hundred thirty-one million, six hundred sixty-four thousand, six hundred nine".

Divisors: 1 3 9 17 27 51 81 153 459 1377 95617 286851 860553 1625489 2581659 4876467 7744977 14629401 43888203 131664609