Search a number
-
+
85618116049 is a prime number
BaseRepresentation
bin100111110111100111…
…1001100010111010001
322011222212120221101011
41033233033030113101
52400321214203144
6103155445210521
76120460656454
oct1175717142721
9264885527334
1085618116049
11333462158a4
1214715400a41
1380c606303b
144202d7b49b
152361820a34
hex13ef3cc5d1

85618116049 has 2 divisors, whose sum is σ = 85618116050. Its totient is φ = 85618116048.

The previous prime is 85618116047. The next prime is 85618116113. The reversal of 85618116049 is 94061181658.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56231585424 + 29386530625 = 237132^2 + 171425^2 .

It is a cyclic number.

It is not a de Polignac number, because 85618116049 - 21 = 85618116047 is a prime.

Together with 85618116047, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 85618115993 and 85618116011.

It is not a weakly prime, because it can be changed into another prime (85618116047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42809058024 + 42809058025.

It is an arithmetic number, because the mean of its divisors is an integer number (42809058025).

Almost surely, 285618116049 is an apocalyptic number.

It is an amenable number.

85618116049 is a deficient number, since it is larger than the sum of its proper divisors (1).

85618116049 is an equidigital number, since it uses as much as digits as its factorization.

85618116049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 414720, while the sum is 49.

The spelling of 85618116049 in words is "eighty-five billion, six hundred eighteen million, one hundred sixteen thousand, forty-nine".