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617116319 is a prime number
BaseRepresentation
bin100100110010000…
…111001010011111
31121000012202102222
4210302013022133
52230440210234
6141122535555
721202254641
oct4462071237
91530182388
10617116319
11297389696
121528075bb
139ab0c5b1
145bd60891
153929e42e
hex24c8729f

617116319 has 2 divisors, whose sum is σ = 617116320. Its totient is φ = 617116318.

The previous prime is 617116301. The next prime is 617116351. The reversal of 617116319 is 913611716.

617116319 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-617116319 is a prime.

It is a super-2 number, since 2×6171163192 = 761665102352219522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (617116399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 308558159 + 308558160.

It is an arithmetic number, because the mean of its divisors is an integer number (308558160).

Almost surely, 2617116319 is an apocalyptic number.

617116319 is a deficient number, since it is larger than the sum of its proper divisors (1).

617116319 is an equidigital number, since it uses as much as digits as its factorization.

617116319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 35.

The square root of 617116319 is about 24841.8259997127. The cubic root of 617116319 is about 851.3778432901.

The spelling of 617116319 in words is "six hundred seventeen million, one hundred sixteen thousand, three hundred nineteen".