For a positive integer $n$, $d(n)$ is defined to be the sum of the digits of $n$. For example, $d(12345)=15$.

Let ${\displaystyle F(N)=\sum _{n=1}^N\frac{n}{d(n)}}$.

You are given $F(10)=19$, $F(123)\approx 1.187764610390\mathrm{e}3$ and $F(12345)\approx 4.855801996238\mathrm{e}6$.

Find $F(1234567890123456789)$. Write your answer in scientific notation rounded to twelve significant digits after the decimal point. Use a lowercase e to separate the mantissa and the exponent.