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16999290000 = 2432547112223
BaseRepresentation
bin11111101010011110…
…01001010010010000
31121212201011101222100
433311033021102100
5234303304240000
611450453440400
71141154403150
oct176517112220
947781141870
1016999290000
117233724200
123365040100
1317abb051a4
14b73976760
156975d6a00
hex3f53c9490

16999290000 has 900 divisors, whose sum is σ = 75014587648. Its totient is φ = 3516480000.

The previous prime is 16999289999. The next prime is 16999290017. The reversal of 16999290000 is 9299961.

It is a happy number.

16999290000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 179 ways as a sum of consecutive naturals, for example, 76229889 + ... + 76230111.

Almost surely, 216999290000 is an apocalyptic number.

16999290000 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 16999290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37507293824).

16999290000 is an abundant number, since it is smaller than the sum of its proper divisors (58015297648).

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

16999290000 is a wasteful number, since it uses less digits than its factorization.

16999290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 16999290000 in words is "sixteen billion, nine hundred ninety-nine million, two hundred ninety thousand".