If $\mathrm{C}_{\mathrm{r}} \equiv{ }^{25} \mathrm{C}_{\mathrm{r}}$ and $\mathrm{C}_0+5 . \mathrm{C}_1+9 . \mathrm{C}_2+\ldots . .+(101) . \mathrm{C}_{25}= 2^{25} \cdot \mathrm{k}$, then k is equal to $\_\_\_\_$ .
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