--description--

It can be verified that there are 23 positive integers less than 1000 that are divisible by at least four distinct primes less than 100.

Find how many positive integers less than ${10}^{16}$ are divisible by at least four distinct primes less than 100.

--hints--

fourDistinctPrimeFactors() should return 785478606870985.

assert.strictEqual(fourDistinctPrimeFactors(), 785478606870985);

--seed--

--seed-contents--

function fourDistinctPrimeFactors() {

  return true;
}

fourDistinctPrimeFactors();

--solutions--

// solution required