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16608684096 = 263341359653
BaseRepresentation
bin11110111011111010…
…00110100001000000
31120212111011120102000
433131331012201000
5233003310342341
611344021424000
71125402325344
oct173575064100
946774146360
1016608684096
117053195204
12327626b000
131748c02734
14b37b39624
1567317b8b6
hex3ddf46840

16608684096 has 224 divisors, whose sum is σ = 50233478400. Its totient is φ = 5377904640.

The previous prime is 16608684067. The next prime is 16608684097. The reversal of 16608684096 is 69048680661.

16608684096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16608684097) 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 31 ways as a sum of consecutive naturals, for example, 25434106 + ... + 25434758.

It is an arithmetic number, because the mean of its divisors is an integer number (224256600).

Almost surely, 216608684096 is an apocalyptic number.

16608684096 is a gapful number since it is divisible by the number (16) 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 16608684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116739200).

16608684096 is an abundant number, since it is smaller than the sum of its proper divisors (33624794304).

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

16608684096 is a wasteful number, since it uses less digits than its factorization.

16608684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 16608684096 in words is "sixteen billion, six hundred eight million, six hundred eighty-four thousand, ninety-six".