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16993209816 = 233211193892903
BaseRepresentation
bin11111101001101111…
…11100110111011000
31121212021201111112100
433310313330313120
5234300230203231
611450115243400
71141051620522
oct176467746730
947767644470
1016993209816
117230251060
123362ba9560
1317aa78684b
14b72c32a12
15696cd51e6
hex3f4dfcdd8

16993209816 has 192 divisors, whose sum is σ = 53003808000. Its totient is φ = 4864216320.

The previous prime is 16993209791. The next prime is 16993209839. The reversal of 16993209816 is 61890239961.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5852221 + ... + 5855123.

It is an arithmetic number, because the mean of its divisors is an integer number (276061500).

Almost surely, 216993209816 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 16993209816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26501904000).

16993209816 is an abundant number, since it is smaller than the sum of its proper divisors (36010598184).

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

16993209816 is a wasteful number, since it uses less digits than its factorization.

16993209816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 16993209816 in words is "sixteen billion, nine hundred ninety-three million, two hundred nine thousand, eight hundred sixteen".