Search a number
-
+
2731026593 is a prime number
BaseRepresentation
bin1010001011001000…
…0010100010100001
321001022220112012002
42202302002202201
521043120322333
61130555213345
7124451225441
oct24262024241
97038815162
102731026593
111181658779
12642747255
13346a5aa89
141bc9cc121
1510eb630e8
hexa2c828a1

2731026593 has 2 divisors, whose sum is σ = 2731026594. Its totient is φ = 2731026592.

The previous prime is 2731026587. The next prime is 2731026607. The reversal of 2731026593 is 3956201372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2249794624 + 481231969 = 47432^2 + 21937^2 .

It is a cyclic number.

It is not a de Polignac number, because 2731026593 - 222 = 2726832289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2731026553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365513296 + 1365513297.

It is an arithmetic number, because the mean of its divisors is an integer number (1365513297).

Almost surely, 22731026593 is an apocalyptic number.

It is an amenable number.

2731026593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731026593 is an equidigital number, since it uses as much as digits as its factorization.

2731026593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 2731026593 is about 52259.2249559827. The cubic root of 2731026593 is about 1397.7901519374.

The spelling of 2731026593 in words is "two billion, seven hundred thirty-one million, twenty-six thousand, five hundred ninety-three".