Search a number
-
+
2246261052593 is a prime number
BaseRepresentation
bin100000101011111111100…
…101111001010010110001
321221201222210110111110202
4200223333211321102301
5243300320312140333
64435530150004545
7321200304625355
oct40537745712261
97851883414422
102246261052593
117966a7893558
12303410346755
13133a8ab13c3c
147aa108a3465
153d66c93a5e8
hex20aff9794b1

2246261052593 has 2 divisors, whose sum is σ = 2246261052594. Its totient is φ = 2246261052592.

The previous prime is 2246261052557. The next prime is 2246261052641. The reversal of 2246261052593 is 3952501626422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2184741179569 + 61519873024 = 1478087^2 + 248032^2 .

It is a cyclic number.

It is not a de Polignac number, because 2246261052593 - 212 = 2246261048497 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2246261052493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1123130526296 + 1123130526297.

It is an arithmetic number, because the mean of its divisors is an integer number (1123130526297).

Almost surely, 22246261052593 is an apocalyptic number.

It is an amenable number.

2246261052593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2246261052593 is an equidigital number, since it uses as much as digits as its factorization.

2246261052593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 2246261052593 in words is "two trillion, two hundred forty-six billion, two hundred sixty-one million, fifty-two thousand, five hundred ninety-three".