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3643032380033 is a prime number
BaseRepresentation
bin110101000000110101101…
…001101010001010000001
3110220021022012010201211102
4311000311221222022001
5434141412242130113
611425330323024145
7524125511206034
oct65006551521201
913807265121742
103643032380033
111185001894312
124aa06420b055
132056c8850577
14c847637d01b
1564b6c3d6758
hex35035a6a281

3643032380033 has 2 divisors, whose sum is σ = 3643032380034. Its totient is φ = 3643032380032.

The previous prime is 3643032380027. The next prime is 3643032380047. The reversal of 3643032380033 is 3300832303463.

3643032380033 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2877325127824 + 765707252209 = 1696268^2 + 875047^2 .

It is a cyclic number.

It is not a de Polignac number, because 3643032380033 - 212 = 3643032375937 is a prime.

It is not a weakly prime, because it can be changed into another prime (3643032380063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1821516190016 + 1821516190017.

It is an arithmetic number, because the mean of its divisors is an integer number (1821516190017).

Almost surely, 23643032380033 is an apocalyptic number.

It is an amenable number.

3643032380033 is a deficient number, since it is larger than the sum of its proper divisors (1).

3643032380033 is an equidigital number, since it uses as much as digits as its factorization.

3643032380033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 38.

Adding to 3643032380033 its reverse (3300832303463), we get a palindrome (6943864683496).

The spelling of 3643032380033 in words is "three trillion, six hundred forty-three billion, thirty-two million, three hundred eighty thousand, thirty-three".