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264357641 is a prime number
BaseRepresentation
bin11111100000111…
…00011100001001
3200102102202111202
433300130130021
51020133421031
642122033545
76360000662
oct1760343411
9612382452
10264357641
1112624a899
12746488b5
13429cb852
1427176369
151831d2cb
hexfc1c709

264357641 has 2 divisors, whose sum is σ = 264357642. Its totient is φ = 264357640.

The previous prime is 264357631. The next prime is 264357673. The reversal of 264357641 is 146753462.

It is a happy number.

264357641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236267641 + 28090000 = 15371^2 + 5300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264357641 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 264357595 and 264357604.

It is not a weakly prime, because it can be changed into another prime (264357631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132178820 + 132178821.

It is an arithmetic number, because the mean of its divisors is an integer number (132178821).

Almost surely, 2264357641 is an apocalyptic number.

It is an amenable number.

264357641 is a deficient number, since it is larger than the sum of its proper divisors (1).

264357641 is an equidigital number, since it uses as much as digits as its factorization.

264357641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120960, while the sum is 38.

The square root of 264357641 is about 16259.0787254383. The cubic root of 264357641 is about 641.7964185653.

The spelling of 264357641 in words is "two hundred sixty-four million, three hundred fifty-seven thousand, six hundred forty-one".