import sys from functools import lru_cache MOD = 10**9 + 7 def main(): N = int(sys.stdin.readline()) bits = list(map(int, bin(N)[2:])) # Convert N to binary, then to a list of digits m = len(bits) total = 0 for k in range(1, m + 1): # Calculate sum of numbers with exactly k ones in binary sum_k = 0 cnt_k = 0 @lru_cache(maxsize=None) def dp(pos, count, tight): nonlocal bits, k, m rem = m - pos required = k - count if required < 0 or required > rem: return (0, 0) if pos == m: return (0, 1) if required == 0 else (0, 0) max_bit = bits[pos] if tight else 1 res_sum = 0 res_cnt = 0 for bit in range(0, max_bit + 1): new_tight = tight and (bit == max_bit) new_count = count + (bit == 1) s, c = dp(pos + 1, new_count, new_tight) w = pow(2, (m - 1 - pos), MOD) contrib = (bit * w) % MOD contrib = (contrib * c) % MOD res_sum = (res_sum + s + contrib) % MOD res_cnt = (res_cnt + c) % MOD return (res_sum % MOD, res_cnt % MOD) s, c = dp(0, 0, True) sum_k = s % MOD total = (total + sum_k * k) % MOD print(total % MOD) if __name__ == '__main__': main()