Search a number
-
+
2028299616 = 2536712421
BaseRepresentation
bin111100011100101…
…0110010101100000
312020100121022000000
41320321112111200
513123221041431
6533133300000
7101156155650
oct17071262540
95210538000
102028299616
11950a16582
12487334600
132642a53b5
14153544360
15bd1029e6
hex78e56560

2028299616 has 168 divisors, whose sum is σ = 6842931984. Its totient is φ = 579467520.

The previous prime is 2028299557. The next prime is 2028299629. The reversal of 2028299616 is 6169928202.

2028299616 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 29 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×20282996163 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 157086 + ... + 169506.

It is an arithmetic number, because the mean of its divisors is an integer number (40731738).

Almost surely, 22028299616 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 2028299616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421465992).

2028299616 is an abundant number, since it is smaller than the sum of its proper divisors (4814632368).

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

2028299616 is an equidigital number, since it uses as much as digits as its factorization.

2028299616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12456 (or 12433 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2028299616 is about 45036.6474773600. The cubic root of 2028299616 is about 1265.8357865217.

The spelling of 2028299616 in words is "two billion, twenty-eight million, two hundred ninety-nine thousand, six hundred sixteen".