Is 67748449 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 67 748 449 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 67 748 449, the only two divisors are 1 and 67 748 449. Therefore 67 748 449 is a prime number.
As a consequence, 67 748 449 is only a multiple of 1 and 67 748 449.
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Since 67748449 is a prime number, 67748449 is also a deficient number, that is to say 67748449 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 67748449 without 67748449 itself (that is 1, by definition!).