Track / Stage 4 / 231 of 340 #491 of 1964

Problem 491

AMC 12 late, AIME early

Number theory Difficulty 4.9 Find the answer

II. (50 points) Given a 12-digit positive integer that can be divided by 37, and it only contains the digits $1,5,9$ . Find all possible values of the sum of the digits of this 12-digit number.

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Official solution

None

Translate the text above into English, please retain the original text's line breaks and format, and output the translation result directly.

Note: The provided instruction is a meta-instruction and not part of the text to be translated. Since the text to be translated is "None", the translation is also "None". Here is the formatted output as requested:

None

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