Track / Stage 4 / 183 of 340 #443 of 1964

Problem 443

AMC 12 late, AIME early

Number theory Difficulty 4.8 Find the answer

(5 points)
On the Island of Numbers, many numbers live, among which some six-digit numbers belong to a family. They can all be represented as $\overline{66 A B C D}$ , and they are all divisible by 495. This family has $\qquad$ members.

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

$20$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.