There is a natural number, which has four different prime factors and 32 divisors. One of the prime factors is two digits, and the sum of its numbers is 11, which is the natural minimum

There is a natural number, which has four different prime factors and 32 divisors. One of the prime factors is two digits, and the sum of its numbers is 11, which is the natural minimum


According to "one of the prime factors is two digits, the sum of its numbers is 11, and the prime number is required to be as large as possible", the prime number is 83. Because there are four different prime factors, the form of the natural number is a ^ m * B ^ n * C ^ p * d ^ Q. according to the divisor formula 32 = (M + 1) × (n + 1) × (P + 1) × (Q + 1), multiply by