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11564373241 is a prime number
BaseRepresentation
bin10101100010100101…
…00101010011111001
31002211221102000210001
422301102211103321
5142140434420431
65151304353001
7556401356611
oct126122452371
932757360701
1011564373241
1149a4872863
1222a8a75761
131123b2b105
147b9c21a41
1547a3c0e61
hex2b14a54f9

11564373241 has 2 divisors, whose sum is σ = 11564373242. Its totient is φ = 11564373240.

The previous prime is 11564373221. The next prime is 11564373253. The reversal of 11564373241 is 14237346511.

It is a happy number.

11564373241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6968075625 + 4596297616 = 83475^2 + 67796^2 .

It is an emirp because it is prime and its reverse (14237346511) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11564373241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11564373241.

It is not a weakly prime, because it can be changed into another prime (11564373211) 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, 5782186620 + 5782186621.

It is an arithmetic number, because the mean of its divisors is an integer number (5782186621).

Almost surely, 211564373241 is an apocalyptic number.

It is an amenable number.

11564373241 is a deficient number, since it is larger than the sum of its proper divisors (1).

11564373241 is an equidigital number, since it uses as much as digits as its factorization.

11564373241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 37.

The spelling of 11564373241 in words is "eleven billion, five hundred sixty-four million, three hundred seventy-three thousand, two hundred forty-one".