Search a number
-
+
85364548417 is a prime number
BaseRepresentation
bin100111110000000011…
…1111010001101000001
322011100012110100222101
41033200013322031001
52344311311022132
6103114350310401
76111261455311
oct1174007721501
9264305410871
1085364548417
1133226075775
12146644b8401
138085671815
1441bb413441
1523494347e7
hex13e01fa341

85364548417 has 2 divisors, whose sum is σ = 85364548418. Its totient is φ = 85364548416.

The previous prime is 85364548403. The next prime is 85364548439. The reversal of 85364548417 is 71484546358.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85214951056 + 149597361 = 291916^2 + 12231^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85364548417 is a prime.

It is a super-2 number, since 2×853645484172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85364548817) 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, 42682274208 + 42682274209.

It is an arithmetic number, because the mean of its divisors is an integer number (42682274209).

Almost surely, 285364548417 is an apocalyptic number.

It is an amenable number.

85364548417 is a deficient number, since it is larger than the sum of its proper divisors (1).

85364548417 is an equidigital number, since it uses as much as digits as its factorization.

85364548417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12902400, while the sum is 55.

The spelling of 85364548417 in words is "eighty-five billion, three hundred sixty-four million, five hundred forty-eight thousand, four hundred seventeen".