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85789413401 is a prime number
BaseRepresentation
bin100111111100101110…
…0101001000000011001
322012102210220202011112
41033321130221000121
52401144042212101
6103224444510105
76124640660606
oct1177134510031
9265383822145
1085789413401
113342398405a
121476284b335
1381226aaa13
14421ba0b6ad
1523718aa6bb
hex13f9729019

85789413401 has 2 divisors, whose sum is σ = 85789413402. Its totient is φ = 85789413400.

The previous prime is 85789413317. The next prime is 85789413407. The reversal of 85789413401 is 10431498758.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76368769801 + 9420643600 = 276349^2 + 97060^2 .

It is a cyclic number.

It is not a de Polignac number, because 85789413401 - 210 = 85789412377 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85789413401.

It is not a weakly prime, because it can be changed into another prime (85789413407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42894706700 + 42894706701.

It is an arithmetic number, because the mean of its divisors is an integer number (42894706701).

Almost surely, 285789413401 is an apocalyptic number.

It is an amenable number.

85789413401 is a deficient number, since it is larger than the sum of its proper divisors (1).

85789413401 is an equidigital number, since it uses as much as digits as its factorization.

85789413401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 85789413401 in words is "eighty-five billion, seven hundred eighty-nine million, four hundred thirteen thousand, four hundred one".