(689•509)•(18+689)=

To solve the expression \((689 \cdot 509) \cdot (18 + 689)\), we can first simplify the expression inside the parentheses.

1. Calculate \(18 + 689\): \[ 18 + 689 = 707 \]

2. Now, rewrite the expression as: \[ (689 \cdot 509) \cdot 707 \]

3. Next, calculate \(689 \cdot 509\): \[ 689 \cdot 509 = 350921 \]

4. Now, multiply \(350921\) by \(707\): \[ 350921 \cdot 707 = 248144507 \]

Thus, \((689 \cdot 509) \cdot (18 + 689) = 248144507\).