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257844457387343 is a prime number
BaseRepresentation
bin111010101000001000010111…
…010010100011010101001111
31020210221200121120022022111202
4322220020113102203111033
5232244010422042343333
62312220035232540115
7105211435010463311
oct7250102722432517
91223850546268452
10257844457387343
1175180247227602
1224b03b970b163b
13b0b48219430a8
144795a49d6d7b1
151ec21d56995e8
hexea82174a354f

257844457387343 has 2 divisors, whose sum is σ = 257844457387344. Its totient is φ = 257844457387342.

The previous prime is 257844457387331. The next prime is 257844457387393. The reversal of 257844457387343 is 343783754448752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257844457387343 - 28 = 257844457387087 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257844457387393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128922228693671 + 128922228693672.

It is an arithmetic number, because the mean of its divisors is an integer number (128922228693672).

Almost surely, 2257844457387343 is an apocalyptic number.

257844457387343 is a deficient number, since it is larger than the sum of its proper divisors (1).

257844457387343 is an equidigital number, since it uses as much as digits as its factorization.

257844457387343 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7586611200, while the sum is 74.

The spelling of 257844457387343 in words is "two hundred fifty-seven trillion, eight hundred forty-four billion, four hundred fifty-seven million, three hundred eighty-seven thousand, three hundred forty-three".