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3946418329729 is a prime number
BaseRepresentation
bin111001011011011000110…
…111001101100010000001
3111222021101200022211100211
4321123120313031202001
51004124231043022404
612220543132514121
7555055632220021
oct71333067154201
914867350284324
103946418329729
11129173729a747
12538a1361b941
132281b7cc59b5
14d9017071a81
156c9c6e74b04
hex396d8dcd881

3946418329729 has 2 divisors, whose sum is σ = 3946418329730. Its totient is φ = 3946418329728.

The previous prime is 3946418329699. The next prime is 3946418329741. The reversal of 3946418329729 is 9279238146493.

3946418329729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2827953449104 + 1118464880625 = 1681652^2 + 1057575^2 .

It is a cyclic number.

It is not a de Polignac number, because 3946418329729 - 223 = 3946409941121 is a prime.

It is not a weakly prime, because it can be changed into another prime (3946418329129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1973209164864 + 1973209164865.

It is an arithmetic number, because the mean of its divisors is an integer number (1973209164865).

Almost surely, 23946418329729 is an apocalyptic number.

It is an amenable number.

3946418329729 is a deficient number, since it is larger than the sum of its proper divisors (1).

3946418329729 is an equidigital number, since it uses as much as digits as its factorization.

3946418329729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141087744, while the sum is 67.

The spelling of 3946418329729 in words is "three trillion, nine hundred forty-six billion, four hundred eighteen million, three hundred twenty-nine thousand, seven hundred twenty-nine".