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264072161 is a prime number
BaseRepresentation
bin11111011110101…
…10101111100001
3200101220020220102
433233112233201
51020100302121
642111552145
76354401453
oct1757265741
9611806812
10264072161
11126075361
127452b655
134292b922
14271002d3
15182b390b
hexfbd6be1

264072161 has 2 divisors, whose sum is σ = 264072162. Its totient is φ = 264072160.

The previous prime is 264072139. The next prime is 264072199. The reversal of 264072161 is 161270462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139972561 + 124099600 = 11831^2 + 11140^2 .

It is a cyclic number.

It is not a de Polignac number, because 264072161 - 26 = 264072097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (264072961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132036080 + 132036081.

It is an arithmetic number, because the mean of its divisors is an integer number (132036081).

Almost surely, 2264072161 is an apocalyptic number.

It is an amenable number.

264072161 is a deficient number, since it is larger than the sum of its proper divisors (1).

264072161 is an equidigital number, since it uses as much as digits as its factorization.

264072161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 264072161 is about 16250.2972588196. The cubic root of 264072161 is about 641.5653098879.

The spelling of 264072161 in words is "two hundred sixty-four million, seventy-two thousand, one hundred sixty-one".