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17947668313 is a prime number
BaseRepresentation
bin10000101101110000…
…111010111101011001
31201022210201000110001
4100231300322331121
5243224100341223
612124532453001
71203521443411
oct205560727531
951283630401
1017947668313
11767aa99933
12358a77a161
131900439aa3
14c238c7641
157009bc9ad
hex42dc3af59

17947668313 has 2 divisors, whose sum is σ = 17947668314. Its totient is φ = 17947668312.

The previous prime is 17947668293. The next prime is 17947668341. The reversal of 17947668313 is 31386674971.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12947481369 + 5000186944 = 113787^2 + 70712^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17947668313 is a prime.

It is not a weakly prime, because it can be changed into another prime (17941668313) 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, 8973834156 + 8973834157.

It is an arithmetic number, because the mean of its divisors is an integer number (8973834157).

Almost surely, 217947668313 is an apocalyptic number.

It is an amenable number.

17947668313 is a deficient number, since it is larger than the sum of its proper divisors (1).

17947668313 is an equidigital number, since it uses as much as digits as its factorization.

17947668313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4572288, while the sum is 55.

The spelling of 17947668313 in words is "seventeen billion, nine hundred forty-seven million, six hundred sixty-eight thousand, three hundred thirteen".