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345163408393 is a prime number
BaseRepresentation
bin1010000010111010101…
…01111010010000001001
31012222221000211212222111
411001131111322100021
521123343313032033
6422322121422321
733636320364046
oct5013525722011
91188830755874
10345163408393
11123423822501
1256a8a63a9a1
13267198549bb
14129c538a1cd
158ea26297cd
hex505d57a409

345163408393 has 2 divisors, whose sum is σ = 345163408394. Its totient is φ = 345163408392.

The previous prime is 345163408361. The next prime is 345163408423. The reversal of 345163408393 is 393804361543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261230365449 + 83933042944 = 511107^2 + 289712^2 .

It is a cyclic number.

It is not a de Polignac number, because 345163408393 - 25 = 345163408361 is a prime.

It is not a weakly prime, because it can be changed into another prime (345163408313) 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, 172581704196 + 172581704197.

It is an arithmetic number, because the mean of its divisors is an integer number (172581704197).

Almost surely, 2345163408393 is an apocalyptic number.

It is an amenable number.

345163408393 is a deficient number, since it is larger than the sum of its proper divisors (1).

345163408393 is an equidigital number, since it uses as much as digits as its factorization.

345163408393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 49.

The spelling of 345163408393 in words is "three hundred forty-five billion, one hundred sixty-three million, four hundred eight thousand, three hundred ninety-three".