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4085686346593 is a prime number
BaseRepresentation
bin111011011101000101111…
…000100010001101100001
3112110120212111200010000111
4323131011320202031201
51013414441201042333
612404534405451321
7601116054636505
oct73350570421541
915416774603014
104085686346593
11133580347a045
1255ba00110b41
1323838102aa77
14101a6939c305
15714287a74cd
hex3b745e22361

4085686346593 has 2 divisors, whose sum is σ = 4085686346594. Its totient is φ = 4085686346592.

The previous prime is 4085686346587. The next prime is 4085686346627. The reversal of 4085686346593 is 3956436865804.

4085686346593 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 can be written as a sum of positive squares in only one way, i.e., 3508402463329 + 577283883264 = 1873073^2 + 759792^2 .

It is a cyclic number.

It is not a de Polignac number, because 4085686346593 - 225 = 4085652792161 is a prime.

It is not a weakly prime, because it can be changed into another prime (4085686346513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2042843173296 + 2042843173297.

It is an arithmetic number, because the mean of its divisors is an integer number (2042843173297).

Almost surely, 24085686346593 is an apocalyptic number.

It is an amenable number.

4085686346593 is a deficient number, since it is larger than the sum of its proper divisors (1).

4085686346593 is an equidigital number, since it uses as much as digits as its factorization.

4085686346593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 447897600, while the sum is 67.

The spelling of 4085686346593 in words is "four trillion, eighty-five billion, six hundred eighty-six million, three hundred forty-six thousand, five hundred ninety-three".