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457282441697 is a prime number
BaseRepresentation
bin1101010011110000010…
…10000101000111100001
31121201022210120220120112
412221320022011013201
524443003301113242
6550023405421105
745015612423134
oct6517012050741
91551283526515
10457282441697
11166a29020704
127475ab6a795
1334177074b63
14181bdb7221b
15bd65798c82
hex6a782851e1

457282441697 has 2 divisors, whose sum is σ = 457282441698. Its totient is φ = 457282441696.

The previous prime is 457282441687. The next prime is 457282441699. The reversal of 457282441697 is 796144282754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 417812275456 + 39470166241 = 646384^2 + 198671^2 .

It is a cyclic number.

It is not a de Polignac number, because 457282441697 - 230 = 456208699873 is a prime.

Together with 457282441699, 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 (457282441699) 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, 228641220848 + 228641220849.

It is an arithmetic number, because the mean of its divisors is an integer number (228641220849).

Almost surely, 2457282441697 is an apocalyptic number.

It is an amenable number.

457282441697 is a deficient number, since it is larger than the sum of its proper divisors (1).

457282441697 is an equidigital number, since it uses as much as digits as its factorization.

457282441697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27095040, while the sum is 59.

The spelling of 457282441697 in words is "four hundred fifty-seven billion, two hundred eighty-two million, four hundred forty-one thousand, six hundred ninety-seven".