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329768981899033 is a prime number
BaseRepresentation
bin100101011111011000101001…
…1000001100010011100011001
31121020121121101100022212111111
41022332301103001202130121
5321210413333331232113
63125205440123500321
7126314010534543115
oct11276612301423431
91536547340285444
10329768981899033
1196090270249a96
1230b9b5309876a1
131120110a2559b1
145b60c92396745
15281d0abed013d
hex12bec53062719

329768981899033 has 2 divisors, whose sum is σ = 329768981899034. Its totient is φ = 329768981899032.

The previous prime is 329768981899001. The next prime is 329768981899099. The reversal of 329768981899033 is 330998189867923.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 321833087245849 + 7935894653184 = 17939707^2 + 2817072^2 .

It is a cyclic number.

It is not a de Polignac number, because 329768981899033 - 25 = 329768981899001 is a prime.

It is not a weakly prime, because it can be changed into another prime (329768981891033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164884490949516 + 164884490949517.

It is an arithmetic number, because the mean of its divisors is an integer number (164884490949517).

Almost surely, 2329768981899033 is an apocalyptic number.

It is an amenable number.

329768981899033 is a deficient number, since it is larger than the sum of its proper divisors (1).

329768981899033 is an equidigital number, since it uses as much as digits as its factorization.

329768981899033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7618738176, while the sum is 85.

The spelling of 329768981899033 in words is "three hundred twenty-nine trillion, seven hundred sixty-eight billion, nine hundred eighty-one million, eight hundred ninety-nine thousand, thirty-three".