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2957496041 is a prime number
BaseRepresentation
bin1011000001000111…
…1100111011101001
321122010001100212102
42300101330323221
522024104333131
61205245223145
7133201205303
oct26021747351
97563040772
102957496041
11128847a605
126a6561ab5
13381952076
14200b00973
1512499a1cb
hexb047cee9

2957496041 has 2 divisors, whose sum is σ = 2957496042. Its totient is φ = 2957496040.

The previous prime is 2957496013. The next prime is 2957496043. The reversal of 2957496041 is 1406947592.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2502100441 + 455395600 = 50021^2 + 21340^2 .

It is a cyclic number.

It is not a de Polignac number, because 2957496041 - 226 = 2890387177 is a prime.

Together with 2957496043, 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 (2957496043) 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, 1478748020 + 1478748021.

It is an arithmetic number, because the mean of its divisors is an integer number (1478748021).

Almost surely, 22957496041 is an apocalyptic number.

It is an amenable number.

2957496041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2957496041 is an equidigital number, since it uses as much as digits as its factorization.

2957496041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 2957496041 is about 54382.8653253945. The cubic root of 2957496041 is about 1435.4058900312.

The spelling of 2957496041 in words is "two billion, nine hundred fifty-seven million, four hundred ninety-six thousand, forty-one".