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85979814013 is a prime number
BaseRepresentation
bin101000000010011001…
…0111101100001111101
322012221002012002201001
41100010302331201331
52402041313022023
6103255405450301
76132442234462
oct1200462754175
9265832162631
1085979814013
11335113aa935
12147b6570991
138152c838c2
144239011669
15238346a6ad
hex1404cbd87d

85979814013 has 2 divisors, whose sum is σ = 85979814014. Its totient is φ = 85979814012.

The previous prime is 85979813929. The next prime is 85979814043. The reversal of 85979814013 is 31041897958.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83058087204 + 2921726809 = 288198^2 + 54053^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85979814013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85979814043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42989907006 + 42989907007.

It is an arithmetic number, because the mean of its divisors is an integer number (42989907007).

Almost surely, 285979814013 is an apocalyptic number.

It is an amenable number.

85979814013 is a deficient number, since it is larger than the sum of its proper divisors (1).

85979814013 is an equidigital number, since it uses as much as digits as its factorization.

85979814013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2177280, while the sum is 55.

The spelling of 85979814013 in words is "eighty-five billion, nine hundred seventy-nine million, eight hundred fourteen thousand, thirteen".