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14669808384 = 283711359691
BaseRepresentation
bin11011010100110001…
…11000001100000000
31101212100211110221110
431222120320030000
5220020432332014
610423400523320
71026350212440
oct155230701400
941770743843
1014669808384
1162487a7190
122a14a80540
1314ca309cba
149d2432120
155acd3ed59
hex36a638300

14669808384 has 288 divisors, whose sum is σ = 48883322880. Its totient is φ = 3794227200.

The previous prime is 14669808379. The next prime is 14669808397. The reversal of 14669808384 is 48380896641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21229479 + ... + 21230169.

It is an arithmetic number, because the mean of its divisors is an integer number (169733760).

Almost surely, 214669808384 is an apocalyptic number.

14669808384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14669808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24441661440).

14669808384 is an abundant number, since it is smaller than the sum of its proper divisors (34213514496).

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

14669808384 is a wasteful number, since it uses less digits than its factorization.

14669808384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 14669808384 in words is "fourteen billion, six hundred sixty-nine million, eight hundred eight thousand, three hundred eighty-four".