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456942276961 is a prime number
BaseRepresentation
bin1101010011000111110…
…00011101000101100001
31121200110002111202021121
412221203320131011201
524441304210330321
6545525534452241
745004312161202
oct6514370350541
91550402452247
10456942276961
11166874003925
1274685064081
1334121753551
141818a9055a9
15bd459a4441
hex6a63e1d161

456942276961 has 2 divisors, whose sum is σ = 456942276962. Its totient is φ = 456942276960.

The previous prime is 456942276941. The next prime is 456942276971. The reversal of 456942276961 is 169672249654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 448598550625 + 8343726336 = 669775^2 + 91344^2 .

It is a cyclic number.

It is not a de Polignac number, because 456942276961 - 29 = 456942276449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 456942276961.

It is not a weakly prime, because it can be changed into another prime (456942276911) 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, 228471138480 + 228471138481.

It is an arithmetic number, because the mean of its divisors is an integer number (228471138481).

Almost surely, 2456942276961 is an apocalyptic number.

It is an amenable number.

456942276961 is a deficient number, since it is larger than the sum of its proper divisors (1).

456942276961 is an equidigital number, since it uses as much as digits as its factorization.

456942276961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39191040, while the sum is 61.

The spelling of 456942276961 in words is "four hundred fifty-six billion, nine hundred forty-two million, two hundred seventy-six thousand, nine hundred sixty-one".