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345815316593 is a prime number
BaseRepresentation
bin1010000100001000011…
…00101111100001110001
31020001121110112020220122
411002010030233201301
521131212210112333
6422510530220025
733661424456045
oct5020414574161
91201543466818
10345815316593
1112372880480a
1257030a24615
13267c19263b6
1412a47ba6025
158ede99c798
hex508432f871

345815316593 has 2 divisors, whose sum is σ = 345815316594. Its totient is φ = 345815316592.

The previous prime is 345815316533. The next prime is 345815316617. The reversal of 345815316593 is 395613518543.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 260561244304 + 85254072289 = 510452^2 + 291983^2 .

It is a cyclic number.

It is not a de Polignac number, because 345815316593 - 214 = 345815300209 is a prime.

It is a super-2 number, since 2×3458153165932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (345815316533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172907658296 + 172907658297.

It is an arithmetic number, because the mean of its divisors is an integer number (172907658297).

Almost surely, 2345815316593 is an apocalyptic number.

It is an amenable number.

345815316593 is a deficient number, since it is larger than the sum of its proper divisors (1).

345815316593 is an equidigital number, since it uses as much as digits as its factorization.

345815316593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832000, while the sum is 53.

The spelling of 345815316593 in words is "three hundred forty-five billion, eight hundred fifteen million, three hundred sixteen thousand, five hundred ninety-three".