The 5th Challenging Number Game

Number Theory Level pending

Find the largest 7-digit number that satisfies: $\\ \overline { abcdefg } ={ a }^{ 7 }+{ b }^{ 7 }+{ c }^{ 7 }+{ d }^{ 7 }+{ e }^{ 7 }+{ f }^{ 7 }+{ g }^{ 7 }$

...Oh wait, too easy! Find the product of all 7 digits of that number: $abcdefg\\$

Up until now, this is the last problem in my set, Game Of Numbers. But that's not THE END...

The answer is 14580.

1 solution

Krisztian Markella
Jul 18, 2015

def digits(n, func, combine):
    if n < 10:
        return func(n)
    else:
        return combine(func(n % 10), digits(n // 10, func, combine))


def find_number(number_of_digits):
    for i in range((10 ** number_of_digits) - 1, 10 ** (number_of_digits - 1), -1):
        if i == digits(i, lambda x: x**number_of_digits, lambda x,y: x+y):
            print(i, ", product of digits: ", digits(i, lambda x: x, lambda x ,y: x * y))
            break

find_number(7)

The 5th Challenging Number Game

...Oh wait, too easy! Find the product of all 7 digits of that number: a b c d e f g abcdefg\\ a b c d e f g

The answer is 14580.

1 solution

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...Oh wait, too easy! Find the product of all 7 digits of that number: $abcdefg\\$