Search a number
-
+
85639702769 is a prime number
BaseRepresentation
bin100111111000010000…
…1100010100011110001
322012001101012122210022
41033300201202203301
52400342230442034
6103201540013225
76121142314505
oct1176041424361
9265041178708
1085639702769
113335741a265
1214720691215
1380ca68074a
144205b9a305
152363686b2e
hex13f08628f1

85639702769 has 2 divisors, whose sum is σ = 85639702770. Its totient is φ = 85639702768.

The previous prime is 85639702721. The next prime is 85639702817. The reversal of 85639702769 is 96720793658.

It is a balanced prime because it is at equal distance from previous prime (85639702721) and next prime (85639702817).

It can be written as a sum of positive squares in only one way, i.e., 83802723169 + 1836979600 = 289487^2 + 42860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85639702769 is a prime.

It is a super-2 number, since 2×856397027692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85639702669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42819851384 + 42819851385.

It is an arithmetic number, because the mean of its divisors is an integer number (42819851385).

Almost surely, 285639702769 is an apocalyptic number.

It is an amenable number.

85639702769 is a deficient number, since it is larger than the sum of its proper divisors (1).

85639702769 is an equidigital number, since it uses as much as digits as its factorization.

85639702769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34292160, while the sum is 62.

The spelling of 85639702769 in words is "eighty-five billion, six hundred thirty-nine million, seven hundred two thousand, seven hundred sixty-nine".