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29820829729 is a prime number
BaseRepresentation
bin11011110001011101…
…011100000000100001
32211222021011002222011
4123301131130000201
5442033113022404
621411031512521
72103662604355
oct336135340041
984867132864
1029820829729
1111713098829
125942b28741
132a73221aa2
14162c729465
15b98036604
hex6f175c021

29820829729 has 2 divisors, whose sum is σ = 29820829730. Its totient is φ = 29820829728.

The previous prime is 29820829627. The next prime is 29820829739. The reversal of 29820829729 is 92792802892.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25084224400 + 4736605329 = 158380^2 + 68823^2 .

It is a cyclic number.

It is not a de Polignac number, because 29820829729 - 219 = 29820305441 is a prime.

It is not a weakly prime, because it can be changed into another prime (29820829739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14910414864 + 14910414865.

It is an arithmetic number, because the mean of its divisors is an integer number (14910414865).

Almost surely, 229820829729 is an apocalyptic number.

It is an amenable number.

29820829729 is a deficient number, since it is larger than the sum of its proper divisors (1).

29820829729 is an equidigital number, since it uses as much as digits as its factorization.

29820829729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5225472, while the sum is 58.

The spelling of 29820829729 in words is "twenty-nine billion, eight hundred twenty million, eight hundred twenty-nine thousand, seven hundred twenty-nine".