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457585140013 is a prime number
BaseRepresentation
bin1101010100010100011…
…00110010000100101101
31121202002220011120121021
412222022030302010231
524444113243440023
6550113421334141
745026246341411
oct6521214620455
91552086146537
10457585140013
11167073978401
1274824407351
13341c49a8ba1
141820c048d41
15bd8213c35d
hex6a8a33212d

457585140013 has 2 divisors, whose sum is σ = 457585140014. Its totient is φ = 457585140012.

The previous prime is 457585139989. The next prime is 457585140043. The reversal of 457585140013 is 310041585754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 456621844644 + 963295369 = 675738^2 + 31037^2 .

It is a cyclic number.

It is not a de Polignac number, because 457585140013 - 25 = 457585139981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457585140043) 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, 228792570006 + 228792570007.

It is an arithmetic number, because the mean of its divisors is an integer number (228792570007).

Almost surely, 2457585140013 is an apocalyptic number.

It is an amenable number.

457585140013 is a deficient number, since it is larger than the sum of its proper divisors (1).

457585140013 is an equidigital number, since it uses as much as digits as its factorization.

457585140013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 457585140013 in words is "four hundred fifty-seven billion, five hundred eighty-five million, one hundred forty thousand, thirteen".