#include #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") using namespace std; using std::cout; using std::cin; using std::endl; using ll=long long; using ld=long double; ll ILL=2167167167167167167; const int INF=2100000000; const int mod=998244353; #define rep(i,a,b) for (ll i=a;i using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,const T &b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";} template void vec_out(vector &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){assert(!a.empty());T ans=a[0]-a[0];for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} // return val=p(N) // a=p[0].first^p[0].second * ... *p[N-1].first^p[N-1].second // for all i: p[i].first is prime number // O(sqrt(val)) std::vector> Prime_factorization(long long val){ assert(val>=1); if(val==1){ return {}; } int ind=0; std::vector> ans; for(long long i=2;i*i<=val;i++){ if(val%i!=0) continue; ans.push_back({i,0}); while(val%i==0){ ans[ind].second++; val/=i; } ind++; } if(val!=1) ans.push_back({val,1}); return ans; } //Nの正の約数を列挙する vector Divisors(long long N){ vector p,q; long long i=1,K=0; while(i*i=0;i--){ p.push_back(q[i]); } return p; } void solve(); // oddloop int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t=1; //cin>>t; rep(i,0,t) solve(); } void solve(){ ll N; cin>>N; auto D=Divisors(N); auto E=Prime_factorization(N); int X=D.size(),Y=E.size(); vector> p(X,vector(Y)); rep(i,0,X) rep(j,0,Y){ ll tmp=D[i]; while(tmp%E[j].first==0){ tmp/=E[j].first; p[i][j]++; } } vector dp(X); dp[0]=1; rep(i,0,X) rep(j,i+1,X){ ll tmp=1; if(D[j]%D[i]) continue; rep(k,0,Y){ if(p[i][k]==p[j][k]){ tmp=(tmp*(1+p[i][k]))%mod; } } dp[j]=(dp[j]+dp[i]*tmp)%mod; } cout<