Search a number
-
+
245574122116033 is a prime number
BaseRepresentation
bin110111110101100100101110…
…010100001001001111000001
31012012111122201210201112120101
4313311210232110021033001
5224141441300230203113
62230143105543442401
7102504100450532614
oct6765445624111701
91165448653645511
10245574122116033
117127a444915207
1223661ab0756401
13a7047041bc809
14448dbcad4217b
151d5ce2e5692dd
hexdf592e5093c1

245574122116033 has 2 divisors, whose sum is σ = 245574122116034. Its totient is φ = 245574122116032.

The previous prime is 245574122116021. The next prime is 245574122116079. The reversal of 245574122116033 is 330611221475542.

245574122116033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (245574122116079) can be obtained adding 245574122116033 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229748229872704 + 15825892243329 = 15157448^2 + 3978177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-245574122116033 is a prime.

It is not a weakly prime, because it can be changed into another prime (245574122116133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 122787061058016 + 122787061058017.

It is an arithmetic number, because the mean of its divisors is an integer number (122787061058017).

Almost surely, 2245574122116033 is an apocalyptic number.

It is an amenable number.

245574122116033 is a deficient number, since it is larger than the sum of its proper divisors (1).

245574122116033 is an equidigital number, since it uses as much as digits as its factorization.

245574122116033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 245574122116033 in words is "two hundred forty-five trillion, five hundred seventy-four billion, one hundred twenty-two million, one hundred sixteen thousand, thirty-three".