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996830016 = 26371359967
BaseRepresentation
bin111011011010100…
…110101101000000
32120110201012201020
4323122212231000
54020142030031
6242525305440
733462625650
oct7332465500
92513635636
10996830016
11471759166
12239a05280
1312b69a360
1496564360
155c7a7096
hex3b6a6b40

996830016 has 224 divisors, whose sum is σ = 3304519680. Its totient is φ = 258177024.

The previous prime is 996830011. The next prime is 996830027. The reversal of 996830016 is 610038699.

996830016 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 996830016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996830011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030365 + ... + 1031331.

It is an arithmetic number, because the mean of its divisors is an integer number (14752320).

Almost surely, 2996830016 is an apocalyptic number.

996830016 is a gapful number since it is divisible by the number (96) 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 996830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652259840).

996830016 is an abundant number, since it is smaller than the sum of its proper divisors (2307689664).

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

996830016 is a wasteful number, since it uses less digits than its factorization.

996830016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 996830016 is about 31572.6149693053. The cubic root of 996830016 is about 998.9422201630.

The spelling of 996830016 in words is "nine hundred ninety-six million, eight hundred thirty thousand, sixteen".