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2427348361 is a prime number
BaseRepresentation
bin1001000010101110…
…0110010110001001
320021011111001222011
42100223212112021
514432400121421
61040510255521
7114103056244
oct22053462611
96234431864
102427348361
1110361a1829
12578ab75a1
132c8b72a09
1419053c25b
15e31794e1
hex90ae6589

2427348361 has 2 divisors, whose sum is σ = 2427348362. Its totient is φ = 2427348360.

The previous prime is 2427348337. The next prime is 2427348377. The reversal of 2427348361 is 1638437242.

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., 2010984336 + 416364025 = 44844^2 + 20405^2 .

It is a cyclic number.

It is not a de Polignac number, because 2427348361 - 219 = 2426824073 is a prime.

It is not a weakly prime, because it can be changed into another prime (2427348061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1213674180 + 1213674181.

It is an arithmetic number, because the mean of its divisors is an integer number (1213674181).

Almost surely, 22427348361 is an apocalyptic number.

It is an amenable number.

2427348361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2427348361 is an equidigital number, since it uses as much as digits as its factorization.

2427348361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 193536, while the sum is 40.

The square root of 2427348361 is about 49268.1272325222. The cubic root of 2427348361 is about 1343.9322308590.

The spelling of 2427348361 in words is "two billion, four hundred twenty-seven million, three hundred forty-eight thousand, three hundred sixty-one".