Search a number
-
+
2477747248393 is a prime number
BaseRepresentation
bin100100000011100101001…
…111101001110100001001
322202212111110120122201011
4210003211033221310021
5311043411243422033
65134132242323521
7344003613053524
oct44034517516411
98685443518634
102477747248393
118758967aa67a
123402546595a1
1314c85c3961b1
1487cd053bbbb
15446ba207ccd
hex240e53e9d09

2477747248393 has 2 divisors, whose sum is σ = 2477747248394. Its totient is φ = 2477747248392.

The previous prime is 2477747248373. The next prime is 2477747248441. The reversal of 2477747248393 is 3938427477742.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2349573940224 + 128173308169 = 1532832^2 + 358013^2 .

It is a cyclic number.

It is not a de Polignac number, because 2477747248393 - 237 = 2340308294921 is a prime.

It is a super-2 number, since 2×24777472483932 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2477747248343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1238873624196 + 1238873624197.

It is an arithmetic number, because the mean of its divisors is an integer number (1238873624197).

Almost surely, 22477747248393 is an apocalyptic number.

It is an amenable number.

2477747248393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2477747248393 is an equidigital number, since it uses as much as digits as its factorization.

2477747248393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 398297088, while the sum is 67.

The spelling of 2477747248393 in words is "two trillion, four hundred seventy-seven billion, seven hundred forty-seven million, two hundred forty-eight thousand, three hundred ninety-three".