import sys # sys.setrecursionlimit(200005) int1 = lambda x: int(x)-1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.buffer.readline()) def LI(): return list(map(int, sys.stdin.buffer.readline().split())) def LI1(): return list(map(int1, sys.stdin.buffer.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def BI(): return sys.stdin.buffer.readline().rstrip() def SI(): return sys.stdin.buffer.readline().rstrip().decode() dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] # dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = 10**16 # md = 998244353 # md = 10**9+7 def pf(a): pp, ee = [], [] for p in range(2, a+1): if p**2 > a: break e = 0 while a%p == 0: a //= p e += 1 if e: pp.append(p) ee.append(e) if a > 1: pp.append(a) ee.append(1) return pp, ee n = II() pp, ee = pf(n) dd = [1] for p, e in zip(pp, ee): s = p nd = [] for _ in range(e*2): for d in dd: nd.append(d*s) s *= p dd += nd dd.sort() # print(len(dd),dd) def floor_sqrt(x): # print(x) a = round(x**0.5-0.45)+1 while a**2 > x: a -= 1 return a n2 = n**2 ans = 0 for i, x in enumerate(dd): for y in dd[:i+1]: if x*y >= n2: break if n2//x%y: continue b = x+y c = -n2//x//y r = floor_sqrt(b**2-4*c) if r**2 != b**2-4*c: continue z = -b+r if z <= 0 or z > y*2 or z & 1: continue # print(x,y,z//2) ans += 1 print(ans)