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379068752441 is a prime number
BaseRepresentation
bin1011000010000100100…
…00100010001000111001
31100020102221201211020202
411201002100202020321
522202313100034231
6450050342531545
736246451142441
oct5410220421071
91306387654222
10379068752441
111368424792a5
1261571436bb5
1329991049262
14144c0349121
159cd902c5cb
hex5842422239

379068752441 has 2 divisors, whose sum is σ = 379068752442. Its totient is φ = 379068752440.

The previous prime is 379068752417. The next prime is 379068752443. The reversal of 379068752441 is 144257860973.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367503900841 + 11564851600 = 606221^2 + 107540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-379068752441 is a prime.

It is a super-2 number, since 2×3790687524412 (a number of 24 digits) contains 22 as substring.

Together with 379068752443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (379068752443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 189534376220 + 189534376221.

It is an arithmetic number, because the mean of its divisors is an integer number (189534376221).

It is a 1-persistent number, because it is pandigital, but 2⋅379068752441 = 758137504882 is not.

Almost surely, 2379068752441 is an apocalyptic number.

It is an amenable number.

379068752441 is a deficient number, since it is larger than the sum of its proper divisors (1).

379068752441 is an equidigital number, since it uses as much as digits as its factorization.

379068752441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 379068752441 in words is "three hundred seventy-nine billion, sixty-eight million, seven hundred fifty-two thousand, four hundred forty-one".