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345163408481 is a prime number
BaseRepresentation
bin1010000010111010101…
…01111010010001100001
31012222221000211220002202
411001131111322101201
521123343313032411
6422322121422545
733636320364233
oct5013525722141
91188830756082
10345163408481
11123423822581
1256a8a63aa55
1326719854a58
14129c538a253
158ea262983b
hex505d57a461

345163408481 has 2 divisors, whose sum is σ = 345163408482. Its totient is φ = 345163408480.

The previous prime is 345163408441. The next prime is 345163408511. The reversal of 345163408481 is 184804361543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 270192040000 + 74971368481 = 519800^2 + 273809^2 .

It is a cyclic number.

It is not a de Polignac number, because 345163408481 - 214 = 345163392097 is a prime.

It is a super-2 number, since 2×3451634084812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (345163408441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172581704240 + 172581704241.

It is an arithmetic number, because the mean of its divisors is an integer number (172581704241).

Almost surely, 2345163408481 is an apocalyptic number.

It is an amenable number.

345163408481 is a deficient number, since it is larger than the sum of its proper divisors (1).

345163408481 is an equidigital number, since it uses as much as digits as its factorization.

345163408481 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 345163408481 in words is "three hundred forty-five billion, one hundred sixty-three million, four hundred eight thousand, four hundred eighty-one".