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312753706457 is a prime number
BaseRepresentation
bin1001000110100011001…
…00101101010111011001
31002220021100021102222112
410203101210231113121
520111004422101312
6355402125202105
731411220433113
oct4432144552731
91086240242875
10312753706457
1111070234a775
1250744700335
1323653187c8a
14111cccb83b3
1582071aed22
hex48d192d5d9

312753706457 has 2 divisors, whose sum is σ = 312753706458. Its totient is φ = 312753706456.

The previous prime is 312753706439. The next prime is 312753706481. The reversal of 312753706457 is 754607357213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288386184256 + 24367522201 = 537016^2 + 156101^2 .

It is a cyclic number.

It is not a de Polignac number, because 312753706457 - 26 = 312753706393 is a prime.

It is not a weakly prime, because it can be changed into another prime (312753706417) 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, 156376853228 + 156376853229.

It is an arithmetic number, because the mean of its divisors is an integer number (156376853229).

Almost surely, 2312753706457 is an apocalyptic number.

It is an amenable number.

312753706457 is a deficient number, since it is larger than the sum of its proper divisors (1).

312753706457 is an equidigital number, since it uses as much as digits as its factorization.

312753706457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3704400, while the sum is 50.

The spelling of 312753706457 in words is "three hundred twelve billion, seven hundred fifty-three million, seven hundred six thousand, four hundred fifty-seven".