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Problem 668

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Square root smooth Numbers

A positive integer is called square root smooth if all of its prime factors are strictly less than its square root.
Including the number $1$, there are $29$ square root smooth numbers not exceeding $100$.

How many square root smooth numbers are there not exceeding $10\ 000\ 000\ 000$?

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平方根光滑数

若一个正整数的所有质因数都严格小于它的平方根，则称之为平方根光滑数。
包括$1$在内，有$29$个不超过$100$的平方根光滑数。.

有多少个不超过$10\ 000\ 000\ 000$的平方根光滑数？

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