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429049420817 is a prime number
BaseRepresentation
bin1100011111001010101…
…01101001110000010001
31112000110012011211212112
412033211111221300101
524012143122431232
6525034054035105
742666146621663
oct6174525516021
91460405154775
10429049420817
11155a602381a6
126b19b948a95
13315c7aaab44
1416aa2286533
15b261d544b2
hex63e5569c11

429049420817 has 2 divisors, whose sum is σ = 429049420818. Its totient is φ = 429049420816.

The previous prime is 429049420783. The next prime is 429049420879. The reversal of 429049420817 is 718024940924.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242370120721 + 186679300096 = 492311^2 + 432064^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-429049420817 is a prime.

It is not a weakly prime, because it can be changed into another prime (429049428817) 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, 214524710408 + 214524710409.

It is an arithmetic number, because the mean of its divisors is an integer number (214524710409).

Almost surely, 2429049420817 is an apocalyptic number.

It is an amenable number.

429049420817 is a deficient number, since it is larger than the sum of its proper divisors (1).

429049420817 is an equidigital number, since it uses as much as digits as its factorization.

429049420817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 429049420817 in words is "four hundred twenty-nine billion, forty-nine million, four hundred twenty thousand, eight hundred seventeen".