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85707592769 is a prime number
BaseRepresentation
bin100111111010010010…
…0100001010001000001
322012020002221211100202
41033310210201101001
52401012120432034
6103212403054545
76122625342521
oct1176444412101
9265202854322
1085707592769
1133391779aa7
121473b371455
13810b760a46
144210bcd681
1523695e747e
hex13f4921441

85707592769 has 2 divisors, whose sum is σ = 85707592770. Its totient is φ = 85707592768.

The previous prime is 85707592709. The next prime is 85707592777. The reversal of 85707592769 is 96729570758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83441832769 + 2265760000 = 288863^2 + 47600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85707592769 is a prime.

It is a super-2 number, since 2×857075927692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85707592709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42853796384 + 42853796385.

It is an arithmetic number, because the mean of its divisors is an integer number (42853796385).

Almost surely, 285707592769 is an apocalyptic number.

It is an amenable number.

85707592769 is a deficient number, since it is larger than the sum of its proper divisors (1).

85707592769 is an equidigital number, since it uses as much as digits as its factorization.

85707592769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66679200, while the sum is 65.

The spelling of 85707592769 in words is "eighty-five billion, seven hundred seven million, five hundred ninety-two thousand, seven hundred sixty-nine".