the number of prime factors of
![{3 \times 5}^{12} \times {2 \times 7}^{10} \times {10}^{25} {3 \times 5}^{12} \times {2 \times 7}^{10} \times {10}^{25}](https://tex.z-dn.net/?f=+%7B3+%5Ctimes+5%7D%5E%7B12%7D+%5Ctimes++%7B2+%5Ctimes+7%7D%5E%7B10%7D++%5Ctimes++%7B10%7D%5E%7B25%7D+)
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