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16043090400 = 25325217131071
BaseRepresentation
bin11101111000011111…
…00010000111100000
31112102001220102201100
432330033202013200
5230324012343100
611211535034400
71105364006211
oct167417420740
945361812640
1016043090400
1168929a72a7
12313896ba00
1316889925cc
14ac298b408
1563d6a8400
hex3bc3e21e0

16043090400 has 216 divisors, whose sum is σ = 59900166144. Its totient is φ = 4026470400.

The previous prime is 16043090317. The next prime is 16043090419. The reversal of 16043090400 is 409034061.

16043090400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 56865 + ... + 187935.

It is an arithmetic number, because the mean of its divisors is an integer number (277315584).

Almost surely, 216043090400 is an apocalyptic number.

16043090400 is a gapful number since it is divisible by the number (10) 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 16043090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29950083072).

16043090400 is an abundant number, since it is smaller than the sum of its proper divisors (43857075744).

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

16043090400 is a wasteful number, since it uses less digits than its factorization.

16043090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131114 (or 131098 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 16043090400 in words is "sixteen billion, forty-three million, ninety thousand, four hundred".