Search a number
-
+
3663997009 is a prime number
BaseRepresentation
bin1101101001100100…
…0010100001010001
3100110100110022222221
43122121002201101
530000440401014
61403324101041
7156540314011
oct33231024121
910410408887
103663997009
11161025a202
12863094781
1346512948a
1426a88bc41
15166a03b24
hexda642851

3663997009 has 2 divisors, whose sum is σ = 3663997010. Its totient is φ = 3663997008.

The previous prime is 3663996989. The next prime is 3663997027. The reversal of 3663997009 is 9007993663.

3663997009 is digitally balanced in base 3, 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., 1846850625 + 1817146384 = 42975^2 + 42628^2 .

It is a cyclic number.

It is not a de Polignac number, because 3663997009 - 219 = 3663472721 is a prime.

It is not a weakly prime, because it can be changed into another prime (3663997079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1831998504 + 1831998505.

It is an arithmetic number, because the mean of its divisors is an integer number (1831998505).

Almost surely, 23663997009 is an apocalyptic number.

It is an amenable number.

3663997009 is a deficient number, since it is larger than the sum of its proper divisors (1).

3663997009 is an equidigital number, since it uses as much as digits as its factorization.

3663997009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1653372, while the sum is 52.

The square root of 3663997009 is about 60530.9590953258. The cubic root of 3663997009 is about 1541.6473361388.

The spelling of 3663997009 in words is "three billion, six hundred sixty-three million, nine hundred ninety-seven thousand, nine".