Search a number
-
+
85723939297 is a prime number
BaseRepresentation
bin100111111010110001…
…0111000000111100001
322012021020201022120201
41033311202320013201
52401030312024142
6103214145305201
76123214314163
oct1176542700741
9265236638521
1085723939297
113339aa24427
1214744935201
138111c65249
144213046933
15236ac75ab7
hex13f58b81e1

85723939297 has 2 divisors, whose sum is σ = 85723939298. Its totient is φ = 85723939296.

The previous prime is 85723939283. The next prime is 85723939309. The reversal of 85723939297 is 79293932758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77015130256 + 8708809041 = 277516^2 + 93321^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85723939297 is a prime.

It is not a weakly prime, because it can be changed into another prime (85723939207) 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, 42861969648 + 42861969649.

It is an arithmetic number, because the mean of its divisors is an integer number (42861969649).

Almost surely, 285723939297 is an apocalyptic number.

It is an amenable number.

85723939297 is a deficient number, since it is larger than the sum of its proper divisors (1).

85723939297 is an equidigital number, since it uses as much as digits as its factorization.

85723939297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51438240, while the sum is 64.

The spelling of 85723939297 in words is "eighty-five billion, seven hundred twenty-three million, nine hundred thirty-nine thousand, two hundred ninety-seven".