Is 782209013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 782 209 013 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 782 209 013, the only two divisors are 1 and 782 209 013. Therefore 782 209 013 is a prime number.
As a consequence, 782 209 013 is only a multiple of 1 and 782 209 013.
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Since 782209013 is a prime number, 782209013 is also a deficient number, that is to say 782209013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 782209013 without 782209013 itself (that is 1, by definition!).