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85786047089 is a prime number
BaseRepresentation
bin100111111100100111…
…1110011001001110001
322012102120120201110022
41033321033303021301
52401142212001324
6103224244413225
76124600240361
oct1177117631161
9265376521408
1085786047089
1133421a94986
12147616a7215
138121a9c712
14421b3b29a1
15237144305e
hex13f93f3271

85786047089 has 2 divisors, whose sum is σ = 85786047090. Its totient is φ = 85786047088.

The previous prime is 85786047043. The next prime is 85786047091. The reversal of 85786047089 is 98074068758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64499237089 + 21286810000 = 253967^2 + 145900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85786047089 is a prime.

It is a super-2 number, since 2×857860470892 (a number of 23 digits) contains 22 as substring.

Together with 85786047091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85786047019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42893023544 + 42893023545.

It is an arithmetic number, because the mean of its divisors is an integer number (42893023545).

Almost surely, 285786047089 is an apocalyptic number.

It is an amenable number.

85786047089 is a deficient number, since it is larger than the sum of its proper divisors (1).

85786047089 is an equidigital number, since it uses as much as digits as its factorization.

85786047089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27095040, while the sum is 62.

The spelling of 85786047089 in words is "eighty-five billion, seven hundred eighty-six million, forty-seven thousand, eighty-nine".