Search a number
-
+
2727964361 is a prime number
BaseRepresentation
bin1010001010011001…
…0110111011001001
321001010010221121002
42202212112323021
521041324324421
61130405424345
7124413212603
oct24246267311
97033127532
102727964361
11117a957001
1264170b0b5
13346227cc5
141bc432173
1510e75ab0b
hexa2996ec9

2727964361 has 2 divisors, whose sum is σ = 2727964362. Its totient is φ = 2727964360.

The previous prime is 2727964321. The next prime is 2727964363. The reversal of 2727964361 is 1634697272.

2727964361 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., 2722856761 + 5107600 = 52181^2 + 2260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2727964361 is a prime.

It is a super-2 number, since 2×27279643612 = 14883579109772276642, which contains 22 as substring.

Together with 2727964363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2727964363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1363982180 + 1363982181.

It is an arithmetic number, because the mean of its divisors is an integer number (1363982181).

Almost surely, 22727964361 is an apocalyptic number.

It is an amenable number.

2727964361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2727964361 is an equidigital number, since it uses as much as digits as its factorization.

2727964361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 762048, while the sum is 47.

The square root of 2727964361 is about 52229.9182557277. The cubic root of 2727964361 is about 1397.2675208067.

The spelling of 2727964361 in words is "two billion, seven hundred twenty-seven million, nine hundred sixty-four thousand, three hundred sixty-one".