Base | Representation |
---|---|
bin | 1000000011111000… |
… | …0001100110100000 |
3 | 12120210110112120200 |
4 | 2000332001212200 |
5 | 13412404240021 |
6 | 554412305200 |
7 | 104422341012 |
oct | 20076014640 |
9 | 5523415520 |
10 | 2163743136 |
11 | a10416275 |
12 | 504772200 |
13 | 2863787a9 |
14 | 1675201b2 |
15 | c9e59126 |
hex | 80f819a0 |
2163743136 has 144 divisors (see below), whose sum is σ = 6654420864. Its totient is φ = 664307712.
The previous prime is 2163743107. The next prime is 2163743149. The reversal of 2163743136 is 6313473612.
2163743136 is a `hidden beast` number, since 2 + 1 + 637 + 4 + 3 + 13 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×21637431362 = 9363568717174228992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 2163743136.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225411 + ... + 234813.
It is an arithmetic number, because the mean of its divisors is an integer number (46211256).
Almost surely, 22163743136 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 2163743136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327210432).
2163743136 is an abundant number, since it is smaller than the sum of its proper divisors (4490677728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2163743136 is a wasteful number, since it uses less digits than its factorization.
2163743136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9483 (or 9472 counting only the distinct ones).
The product of its digits is 54432, while the sum is 36.
The square root of 2163743136 is about 46516.0524550396. The cubic root of 2163743136 is about 1293.4070814455.
The spelling of 2163743136 in words is "two billion, one hundred sixty-three million, seven hundred forty-three thousand, one hundred thirty-six".
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