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16448114976 = 2533741532131
BaseRepresentation
bin11110101000110001…
…00101000100100000
31120110022000210222120
433110120211010200
5232141204134401
611320044104240
71121412445656
oct172430450440
946408023876
1016448114976
116a80594257
123230535080
131721872c17
14b2069cdd6
15664010836
hex3d4625120

16448114976 has 192 divisors, whose sum is σ = 46303560576. Its totient is φ = 5103820800.

The previous prime is 16448114929. The next prime is 16448114993. The reversal of 16448114976 is 67941184461.

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, 7717431 + ... + 7719561.

It is an arithmetic number, because the mean of its divisors is an integer number (241164378).

Almost surely, 216448114976 is an apocalyptic number.

16448114976 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 16448114976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23151780288).

16448114976 is an abundant number, since it is smaller than the sum of its proper divisors (29855445600).

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

16448114976 is a wasteful number, since it uses less digits than its factorization.

16448114976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2267 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 16448114976 in words is "sixteen billion, four hundred forty-eight million, one hundred fourteen thousand, nine hundred seventy-six".