Base | Representation |
---|---|
bin | 1000000011111011… |
… | …1110011000000000 |
3 | 12120210221012001020 |
4 | 2000332332120000 |
5 | 13412440221224 |
6 | 554421505440 |
7 | 104424425523 |
oct | 20076763000 |
9 | 5523835036 |
10 | 2163992064 |
11 | a105762a3 |
12 | 504872280 |
13 | 286434ba0 |
14 | 167586bba |
15 | c9ea7c79 |
hex | 80fbe600 |
2163992064 has 320 divisors, whose sum is σ = 6661448640. Its totient is φ = 619315200.
The previous prime is 2163992057. The next prime is 2163992081. The reversal of 2163992064 is 4602993612.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21425614 + ... + 21425714.
It is an arithmetic number, because the mean of its divisors is an integer number (20817027).
Almost surely, 22163992064 is an apocalyptic number.
2163992064 is a gapful number since it is divisible by the number (24) 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 2163992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330724320).
2163992064 is an abundant number, since it is smaller than the sum of its proper divisors (4497456576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2163992064 is a wasteful number, since it uses less digits than its factorization.
2163992064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 201 (or 185 counting only the distinct ones).
The product of its (nonzero) digits is 139968, while the sum is 42.
The square root of 2163992064 is about 46518.7280995515. The cubic root of 2163992064 is about 1293.4566795835.
The spelling of 2163992064 in words is "two billion, one hundred sixty-three million, nine hundred ninety-two thousand, sixty-four".
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