Is 18749009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 18 749 009 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 18 749 009, the only two divisors are 1 and 18 749 009. Therefore 18 749 009 is a prime number.
As a consequence, 18 749 009 is only a multiple of 1 and 18 749 009.
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Since 18749009 is a prime number, 18749009 is also a deficient number, that is to say 18749009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 18749009 without 18749009 itself (that is 1, by definition!).