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3640768864417 is a prime number
BaseRepresentation
bin110100111110101110101…
…111000010000010100001
3110220001110102221020010201
4310332232233002002201
5434122243312130132
611424313544025201
7524015434511116
oct64765657020241
913801412836121
103640768864417
111184050122553
124a9732162201
13205427910a09
14c82dd8ca90d
1564a888202e7
hex34faebc20a1

3640768864417 has 2 divisors, whose sum is σ = 3640768864418. Its totient is φ = 3640768864416.

The previous prime is 3640768864393. The next prime is 3640768864457. The reversal of 3640768864417 is 7144688670463.

It is a happy number.

3640768864417 is digitally balanced in base 2, 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., 2321856727696 + 1318912136721 = 1523764^2 + 1148439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3640768864417 is a prime.

It is not a weakly prime, because it can be changed into another prime (3640768864457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1820384432208 + 1820384432209.

It is an arithmetic number, because the mean of its divisors is an integer number (1820384432209).

Almost surely, 23640768864417 is an apocalyptic number.

It is an amenable number.

3640768864417 is a deficient number, since it is larger than the sum of its proper divisors (1).

3640768864417 is an equidigital number, since it uses as much as digits as its factorization.

3640768864417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 130056192, while the sum is 64.

The spelling of 3640768864417 in words is "three trillion, six hundred forty billion, seven hundred sixty-eight million, eight hundred sixty-four thousand, four hundred seventeen".