Can you break the number?
Number Theory
Level
3
Euler's Totient Function ( also known as phi function denoted by φ(n) or ϕ(n) ) determines the total number of co-prime numbers from 1 to n of a number n. Can you say the value of φ(183475849) ?
Help:
If n is a prime number , then φ(n) = n-1
The answer is 171362880.
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1 solution
First let's determine the prime factorization of the number:
183475849 = 17 x 131 x 82387
From the given theory on the ''Help",we can state as following:
φ(183475849) = φ(17) x φ(131) x φ(82387) ( as phi function follows the multiplicative rule ) = 16 x 130 x 82386 = 171362880