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4097616949 is a prime number
BaseRepresentation
bin1111010000111100…
…1010110000110101
3101120120101111201201
43310033022300311
531342442220244
61514334052501
7203354112046
oct36417126065
911516344651
104097616949
111812aa8298
1296434a131
13503c0c61a
142ac2c48cd
1518eb08ad4
hexf43cac35

4097616949 has 2 divisors, whose sum is σ = 4097616950. Its totient is φ = 4097616948.

The previous prime is 4097616937. The next prime is 4097616953. The reversal of 4097616949 is 9496167904.

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., 2691741924 + 1405875025 = 51882^2 + 37495^2 .

It is a cyclic number.

It is not a de Polignac number, because 4097616949 - 27 = 4097616821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4097616949.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4097616049) 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, 2048808474 + 2048808475.

It is an arithmetic number, because the mean of its divisors is an integer number (2048808475).

Almost surely, 24097616949 is an apocalyptic number.

It is an amenable number.

4097616949 is a deficient number, since it is larger than the sum of its proper divisors (1).

4097616949 is an equidigital number, since it uses as much as digits as its factorization.

4097616949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2939328, while the sum is 55.

The square root of 4097616949 is about 64012.6311676063. The cubic root of 4097616949 is about 1600.2105125360.

The spelling of 4097616949 in words is "four billion, ninety-seven million, six hundred sixteen thousand, nine hundred forty-nine".