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19967148029 is a prime number
BaseRepresentation
bin10010100110001000…
…100111111111111101
31220112112201012211002
4102212020213333331
5311343042214104
613101153140045
71304542646363
oct224610477775
956475635732
1019967148029
118516a30934
123a52b5a625
131b629447ba
14d75bb3633
157bce2c01e
hex4a6227ffd

19967148029 has 2 divisors, whose sum is σ = 19967148030. Its totient is φ = 19967148028.

The previous prime is 19967148017. The next prime is 19967148041. The reversal of 19967148029 is 92084176991.

It is a balanced prime because it is at equal distance from previous prime (19967148017) and next prime (19967148041).

It can be written as a sum of positive squares in only one way, i.e., 19929815929 + 37332100 = 141173^2 + 6110^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-19967148029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19967148049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9983574014 + 9983574015.

It is an arithmetic number, because the mean of its divisors is an integer number (9983574015).

Almost surely, 219967148029 is an apocalyptic number.

It is an amenable number.

19967148029 is a deficient number, since it is larger than the sum of its proper divisors (1).

19967148029 is an equidigital number, since it uses as much as digits as its factorization.

19967148029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1959552, while the sum is 56.

The spelling of 19967148029 in words is "nineteen billion, nine hundred sixty-seven million, one hundred forty-eight thousand, twenty-nine".