Track / Stage 4 / 167 of 340 #427 of 1964

Problem 427

AMC 12 late, AIME early

Number theory Difficulty 4.8 Find the answer

26. (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. Spacing, $ signs and \frac vs / are all fine.

Official solution

$20$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.