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4006766017 is a prime number
BaseRepresentation
bin1110111011010010…
…0110010111000001
3101100020102210200101
43232310212113001
531201213003032
61501330522401
7201201643402
oct35664462701
911306383611
104006766017
111776795681
12939a36401
134bb150287
142a01d59a9
15186b5ede7
hexeed265c1

4006766017 has 2 divisors, whose sum is σ = 4006766018. Its totient is φ = 4006766016.

The previous prime is 4006766011. The next prime is 4006766047. The reversal of 4006766017 is 7106676004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2689874496 + 1316891521 = 51864^2 + 36289^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4006766017 is a prime.

It is not a weakly prime, because it can be changed into another prime (4006766011) 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, 2003383008 + 2003383009.

It is an arithmetic number, because the mean of its divisors is an integer number (2003383009).

Almost surely, 24006766017 is an apocalyptic number.

It is an amenable number.

4006766017 is a deficient number, since it is larger than the sum of its proper divisors (1).

4006766017 is an equidigital number, since it uses as much as digits as its factorization.

4006766017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 4006766017 is about 63299.0206638302. The cubic root of 4006766017 is about 1588.2955796671.

The spelling of 4006766017 in words is "four billion, six million, seven hundred sixty-six thousand, seventeen".