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17117672993 is a prime number
BaseRepresentation
bin11111111000100101…
…01111011000100001
31122011221220212220122
433330102233120201
5240024111013433
611510323050025
71144122551111
oct177422573041
948157825818
1017117672993
117294531093
123398810915
1317ca4b40b5
14b85591041
156a2bbd198
hex3fc4af621

17117672993 has 2 divisors, whose sum is σ = 17117672994. Its totient is φ = 17117672992.

The previous prime is 17117672981. The next prime is 17117673043. The reversal of 17117672993 is 39927671171.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14334793984 + 2782879009 = 119728^2 + 52753^2 .

It is an emirp because it is prime and its reverse (39927671171) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17117672993 is a prime.

It is not a weakly prime, because it can be changed into another prime (17117672093) 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, 8558836496 + 8558836497.

It is an arithmetic number, because the mean of its divisors is an integer number (8558836497).

Almost surely, 217117672993 is an apocalyptic number.

It is an amenable number.

17117672993 is a deficient number, since it is larger than the sum of its proper divisors (1).

17117672993 is an equidigital number, since it uses as much as digits as its factorization.

17117672993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1000188, while the sum is 53.

The spelling of 17117672993 in words is "seventeen billion, one hundred seventeen million, six hundred seventy-two thousand, nine hundred ninety-three".