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3661406009 is a prime number
BaseRepresentation
bin1101101000111100…
…1001111100111001
3100110011120200210222
43122033021330321
524444304443014
61403152345425
7156506303042
oct33217117471
910404520728
103661406009
11160984a588
12862245275
13464730041
1426a3b58c9
1516669108e
hexda3c9f39

3661406009 has 2 divisors, whose sum is σ = 3661406010. Its totient is φ = 3661406008.

The previous prime is 3661405931. The next prime is 3661406027. The reversal of 3661406009 is 9006041663.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2503501225 + 1157904784 = 50035^2 + 34028^2 .

It is a cyclic number.

It is not a de Polignac number, because 3661406009 - 220 = 3660357433 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3661406009.

It is not a weakly prime, because it can be changed into another prime (3661409009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1830703004 + 1830703005.

It is an arithmetic number, because the mean of its divisors is an integer number (1830703005).

Almost surely, 23661406009 is an apocalyptic number.

It is an amenable number.

3661406009 is a deficient number, since it is larger than the sum of its proper divisors (1).

3661406009 is an equidigital number, since it uses as much as digits as its factorization.

3661406009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3661406009 is about 60509.5530391689. The cubic root of 3661406009 is about 1541.2838578427.

The spelling of 3661406009 in words is "three billion, six hundred sixty-one million, four hundred six thousand, nine".