Search a number
-
+
2657897393 is a prime number
BaseRepresentation
bin1001111001101100…
…0100101110110001
320212020022011210012
42132123010232301
520420410204033
61115423544305
7122602516664
oct23633045661
96766264705
102657897393
11114434a718
1262215b095
13334864b68
141b2dd36db
1510851a248
hex9e6c4bb1

2657897393 has 2 divisors, whose sum is σ = 2657897394. Its totient is φ = 2657897392.

The previous prime is 2657897339. The next prime is 2657897413. The reversal of 2657897393 is 3937987562.

Together with previous prime (2657897339) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1589457424 + 1068439969 = 39868^2 + 32687^2 .

It is a cyclic number.

It is not a de Polignac number, because 2657897393 - 224 = 2641120177 is a prime.

It is not a weakly prime, because it can be changed into another prime (2657891393) 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, 1328948696 + 1328948697.

It is an arithmetic number, because the mean of its divisors is an integer number (1328948697).

Almost surely, 22657897393 is an apocalyptic number.

It is an amenable number.

2657897393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2657897393 is an equidigital number, since it uses as much as digits as its factorization.

2657897393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17146080, while the sum is 59.

The square root of 2657897393 is about 51554.7999026279. The cubic root of 2657897393 is about 1385.2008107220.

The spelling of 2657897393 in words is "two billion, six hundred fifty-seven million, eight hundred ninety-seven thousand, three hundred ninety-three".