16329681

16329681 is an integer written in decimal notation. It is notable for being a perfect square, as its square root is 4041.

Mathematically, 16329681 = 4041^2. The prime factorization is 3^4 × 449^2, since 4041 = 9 × 449 and 9 = 3^2, giving (3^2)^2 × 449^2 = 3^4 × 449^2. The number has 15 positive divisors, as determined by the formula for the number of divisors from prime exponents: (4 + 1) × (2 + 1) = 15. The sum of its digits is 36, which implies divisibility by 9; indeed 16329681 ÷ 9 = 1814409, and 1814409 is divisible by 9 as well, yielding 201601 = 449^2.

As a square of a composite number, 16329681 exemplifies a nested square structure: it can be written as (9 × 449)^2 = 81 × 449^2, with its square root remaining 4041. This also confirms that the number is odd and congruent to 1 modulo 8, since 4041 ≡ 1 (mod 8).

In practical contexts, 16329681 does not correspond to a widely recognized constant, object, or event. It is primarily of interest in arithmetic and number theory as a large perfect square with a factorization pattern that highlights the relationship between squares and their prime components.