package main import . "fmt" const Mod = 998244353 func main() { var n string Scan(&n) ds := make([]int, 10) for _, ch := range n { ds[int(ch)-'0']++ } xs := make([]int, len(n)+1) for i := range xs { for _, d := range ds { if i <= d { xs[i]++ } } } ans := calc(len(n), xs) if ds[0] > 0 { xs[ds[0]]-- ans += Mod - calc(len(n)-1, xs) ans %= Mod } Println(ans) } func calc(n int, xs []int) int { ps := make([]bool, n+1) ps[0],ps[1] = true, true cs := make([]int, n+1) for i := range ps { if ps[i] { continue } for j := i; j < len(ps); j += i { ps[j] = true cnt := 0 for t := j; t % i == 0; t /= i { cnt++ } cs[i] += cnt * (1 - xs[j]) } } r := 1 for i, c := range cs { for ; c > 0; c-- { r = r * i % Mod } } return r }