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34585057803727 is a prime number
BaseRepresentation
bin1111101110100011101100…
…00101011011110111001111
311112110022002010212022000201
413313101312011123313033
514013120144244204402
6201320053424234331
710166454654600034
oct767216605336717
9145408063768021
1034585057803727
1110024493554a82
123a66995a6b9a7
13163b484307512
14877cd62b538b
153ee983e09687
hex1f747615bdcf

34585057803727 has 2 divisors, whose sum is σ = 34585057803728. Its totient is φ = 34585057803726.

The previous prime is 34585057803697. The next prime is 34585057803823. The reversal of 34585057803727 is 72730875058543.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 34585057803727 - 27 = 34585057803599 is a prime.

It is a super-2 number, since 2×345850578037272 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34585057801727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17292528901863 + 17292528901864.

It is an arithmetic number, because the mean of its divisors is an integer number (17292528901864).

Almost surely, 234585057803727 is an apocalyptic number.

34585057803727 is a deficient number, since it is larger than the sum of its proper divisors (1).

34585057803727 is an equidigital number, since it uses as much as digits as its factorization.

34585057803727 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 197568000, while the sum is 64.

The spelling of 34585057803727 in words is "thirty-four trillion, five hundred eighty-five billion, fifty-seven million, eight hundred three thousand, seven hundred twenty-seven".