#pragma GCC optimize ("O3") #pragma GCC target ("tune=native") #pragma GCC target ("avx") #include // 汎用マクロ #define ALL_OF(x) (x).begin(), (x).end() #define REP(i,n) for (long long i=0, i##_len=(n); i=i##_end; i--) #define UNIQUE(v) { sort((v).begin(), (v).end()); (v).erase(unique((v).begin(), (v).end()), (v).end()); } template bool chmax(T &a, const T &b) {if (a < b) {a = b; return true;} return false; } template bool chmin(T &a, const T &b) {if (a > b) {a = b; return true;} return false; } #define INF 0x7FFFFFFF #define LINF 0x7FFFFFFFFFFFFFFFLL #define Yes(q) (q ? "Yes" : "No") #define YES(q) (q ? "YES" : "NO") #define DUMP(q) cerr << "[DEBUG] " #q ": " << (q) << " at " __FILE__ ":" << __LINE__ << endl #define DUMPALL(q) { cerr << "[DEBUG] " #q ": ["; REP(dumpall_i, (q).size()) { cerr << q[dumpall_i] << (dumpall_i == (q).size() - 1 ? "" : ", "); } cerr << "] at " __FILE__ ":" << __LINE__ << endl; } template T gcd(const T &a, const T &b) { return a < b ? gcd(b, a) : b ? gcd(b, a % b) : a; } template T lcm(const T &a, const T &b) { return a / gcd(a, b) * b; } // gcc拡張マクロ #define popcount __builtin_popcount #define popcountll __builtin_popcountll // エイリアス using ll = long long; using ull = unsigned long long; using ld = long double; using namespace std; // モジュール vector factorize(ll n) { if (n < 2) return vector(); vector ans; ll n0 = n; while (n % 2 == 0) { ans.push_back(2); n /= 2; } for (ll i = 3; i * i <= n0; i += 2) { while (n % i == 0) { ans.push_back(i); n /= i; } } if (n > 1) ans.push_back(n); return ans; } ll reconstruct(const vector> &p, ll limit = -1) { ll r = 1; REP(i, limit < 0 ? p.size() : min(limit, (ll)p.size())) { for (ll j = p[i].second; j--; ) { r *= p[i].first; } } return r; } ll solve(vector> &s, const vector> &pfac, ll m, ll d) { if (d >= pfac.size()) { ll x = reconstruct(s); // REP(i, s.size()) cerr << "[" << s[i].first << " ^ " << s[i].second << "] "; cerr << endl; return x <= m; } else { ll ans = 0; REP(i, pfac[d].second + 1) { s[d].second = i; ll rec = reconstruct(s, d + 1); if (m < rec) break; ans += solve(s, pfac, m, d + 1); } return ans; } } // 処理内容 int main() { ll n, k, m; cin >> n >> k >> m; vector nfac = factorize(n); ll facsize = nfac.size(); vector> pfac; for (ll i = 0; i < facsize; ) { ll j = i; while (j < facsize && nfac[i] == nfac[j]) j++; pfac.emplace_back(nfac[i], (j - i) * k); i = j; } vector> s = pfac; for (auto &si : s) si.second = 0; cout << solve(s, pfac, m, 0) << endl; }