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993431609 is a prime number
BaseRepresentation
bin111011001101101…
…001000000111001
32120020022112222022
4323031221000321
54013304302414
6242324404225
733422013032
oct7315510071
92506275868
10993431609
1146a847965
12238846675
1312aa7a571
1495d1ba89
155c33518e
hex3b369039

993431609 has 2 divisors, whose sum is σ = 993431610. Its totient is φ = 993431608.

The previous prime is 993431581. The next prime is 993431671. The reversal of 993431609 is 906134399.

993431609 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., 504137209 + 489294400 = 22453^2 + 22120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-993431609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 993431609.

It is not a weakly prime, because it can be changed into another prime (993431689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496715804 + 496715805.

It is an arithmetic number, because the mean of its divisors is an integer number (496715805).

Almost surely, 2993431609 is an apocalyptic number.

It is an amenable number.

993431609 is a deficient number, since it is larger than the sum of its proper divisors (1).

993431609 is an equidigital number, since it uses as much as digits as its factorization.

993431609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 44.

The square root of 993431609 is about 31518.7501179853. The cubic root of 993431609 is about 997.8057250123.

The spelling of 993431609 in words is "nine hundred ninety-three million, four hundred thirty-one thousand, six hundred nine".