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14913644208 = 2437325716561
BaseRepresentation
bin11011110001110110…
…00010011010110000
31102111100122121210220
431320323002122300
5221020343103313
610503511053040
71035400612161
oct157073023260
942440577726
1014913644208
1163633aa6a1
122a82671180
1315389a1a58
14a16985768
155c4457823
hex378ec26b0

14913644208 has 80 divisors (see below), whose sum is σ = 39209011296. Its totient is φ = 4883742720.

The previous prime is 14913644203. The next prime is 14913644209. The reversal of 14913644208 is 80244631941.

14913644208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14913644208.

It is not an unprimeable number, because it can be changed into a prime (14913644203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892248 + ... + 908808.

Almost surely, 214913644208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14913644208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19604505648).

14913644208 is an abundant number, since it is smaller than the sum of its proper divisors (24295367088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14913644208 is a wasteful number, since it uses less digits than its factorization.

14913644208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16902 (or 16896 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 14913644208 in words is "fourteen billion, nine hundred thirteen million, six hundred forty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 257 292 438 514 584 771 876 1028 1168 1542 1752 2056 3084 3504 4112 6168 12336 16561 18761 33122 37522 49683 56283 66244 75044 99366 112566 132488 150088 198732 225132 264976 300176 397464 450264 794928 900528 1208953 2417906 3626859 4256177 4835812 7253718 8512354 9671624 12768531 14507436 17024708 19343248 25537062 29014872 34049416 51074124 58029744 68098832 102148248 204296496 310700921 621401842 932102763 1242803684 1864205526 2485607368 3728411052 4971214736 7456822104 14913644208