Аннотация:Let $\tau_{k}(n)$ be the number of solutions $(x_1, x_2, \ldots, x_k)$
of the equation $x_1 x_2 \ldots x_k = n$ in positive integers.
In the paper there introduce the notation
$$D_k(x) = \sum_{n \le x} \tau_k(n).$$
We show that the asymptotic formula for $D_k(x)$ is changing with growing values of k
and present specific values of k, which is a change.