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29719052729 is a prime number
BaseRepresentation
bin11011101011011001…
…001100000110111001
32211201011122022011122
4123223121030012321
5441331034141404
621352554235025
72101315531412
oct335331140671
984634568148
1029719052729
11116706a3203
125914a25a75
132a58108502
14161cdd4809
15b8e1303be
hex6eb64c1b9

29719052729 has 2 divisors, whose sum is σ = 29719052730. Its totient is φ = 29719052728.

The previous prime is 29719052719. The next prime is 29719052731. The reversal of 29719052729 is 92725091792.

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., 28859214400 + 859838329 = 169880^2 + 29323^2 .

It is a cyclic number.

It is not a de Polignac number, because 29719052729 - 212 = 29719048633 is a prime.

It is a Sophie Germain prime.

Together with 29719052731, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (29719052719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14859526364 + 14859526365.

It is an arithmetic number, because the mean of its divisors is an integer number (14859526365).

Almost surely, 229719052729 is an apocalyptic number.

It is an amenable number.

29719052729 is a deficient number, since it is larger than the sum of its proper divisors (1).

29719052729 is an equidigital number, since it uses as much as digits as its factorization.

29719052729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1428840, while the sum is 53.

The spelling of 29719052729 in words is "twenty-nine billion, seven hundred nineteen million, fifty-two thousand, seven hundred twenty-nine".