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264160009 = 162532
BaseRepresentation
bin11111011111011…
…00001100001001
3200102001201102001
433233230030021
51020111110014
642113511001
76355215541
oct1757541411
9612051361
10264160009
11126125363
1274572461
134295c8c9
1427124321
15182ce974
hexfbec309

264160009 has 3 divisors (see below), whose sum is σ = 264176263. Its totient is φ = 264143756.

The previous prime is 264159997. The next prime is 264160027. The reversal of 264160009 is 900061462.

The square root of 264160009 is 16253.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 182655225 + 81504784 = 13515^2 + 9028^2 .

It is not a de Polignac number, because 264160009 - 211 = 264157961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264160609) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8127 + ... + 24379.

Almost surely, 2264160009 is an apocalyptic number.

264160009 is the 16253-rd square number.

264160009 is the 8127-th centered octagonal number.

It is an amenable number.

264160009 is a deficient number, since it is larger than the sum of its proper divisors (16254).

264160009 is an frugal number, since it uses more digits than its factorization.

264160009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32506 (or 16253 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 264160009 is about 641.6364444603.

The spelling of 264160009 in words is "two hundred sixty-four million, one hundred sixty thousand, nine".

Divisors: 1 16253 264160009