Is 36748709 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 36 748 709 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 36 748 709, the only two divisors are 1 and 36 748 709. Therefore 36 748 709 is a prime number.
As a consequence, 36 748 709 is only a multiple of 1 and 36 748 709.
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Since 36748709 is a prime number, 36748709 is also a deficient number, that is to say 36748709 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 36748709 without 36748709 itself (that is 1, by definition!).