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85593703757 is a prime number
BaseRepresentation
bin100111110110111001…
…0000100010101001101
322011221011122200000012
41033231302010111031
52400243442010012
6103153214043005
76120043322552
oct1175562042515
9264834580005
1085593703757
1133333461551
12147091a9465
1380c0c964b3
1441dda24a29
15235e5ec622
hex13edc8454d

85593703757 has 2 divisors, whose sum is σ = 85593703758. Its totient is φ = 85593703756.

The previous prime is 85593703711. The next prime is 85593703777. The reversal of 85593703757 is 75730739558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85267504036 + 326199721 = 292006^2 + 18061^2 .

It is a cyclic number.

It is not a de Polignac number, because 85593703757 - 214 = 85593687373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85593703696 and 85593703705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85593703777) 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, 42796851878 + 42796851879.

It is an arithmetic number, because the mean of its divisors is an integer number (42796851879).

Almost surely, 285593703757 is an apocalyptic number.

It is an amenable number.

85593703757 is a deficient number, since it is larger than the sum of its proper divisors (1).

85593703757 is an equidigital number, since it uses as much as digits as its factorization.

85593703757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27783000, while the sum is 59.

The spelling of 85593703757 in words is "eighty-five billion, five hundred ninety-three million, seven hundred three thousand, seven hundred fifty-seven".