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3936640313 is a prime number
BaseRepresentation
bin1110101010100100…
…0101110100111001
3101011100111001022002
43222221011310321
531030234442223
61450343510345
7166360614314
oct35251056471
911140431262
103936640313
111740149151
1291a4583b5
134a9769488
14294b7d97b
1518090be28
hexeaa45d39

3936640313 has 2 divisors, whose sum is σ = 3936640314. Its totient is φ = 3936640312.

The previous prime is 3936640247. The next prime is 3936640319. The reversal of 3936640313 is 3130466393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2899607104 + 1037033209 = 53848^2 + 32203^2 .

It is a cyclic number.

It is not a de Polignac number, because 3936640313 - 212 = 3936636217 is a prime.

It is not a weakly prime, because it can be changed into another prime (3936640319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1968320156 + 1968320157.

It is an arithmetic number, because the mean of its divisors is an integer number (1968320157).

Almost surely, 23936640313 is an apocalyptic number.

It is an amenable number.

3936640313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3936640313 is an equidigital number, since it uses as much as digits as its factorization.

3936640313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104976, while the sum is 38.

The square root of 3936640313 is about 62742.6514661279. The cubic root of 3936640313 is about 1578.9749684623.

The spelling of 3936640313 in words is "three billion, nine hundred thirty-six million, six hundred forty thousand, three hundred thirteen".