| Base | Representation |
|---|---|
| bin | 111111000101000… |
| … | …0011010010100000 |
| 3 | 12110111200121011000 |
| 4 | 1332022003102200 |
| 5 | 13313320023003 |
| 6 | 550005152000 |
| 7 | 103310332620 |
| oct | 17612032240 |
| 9 | 5414617130 |
| 10 | 2116564128 |
| 11 | 996821a58 |
| 12 | 4b09bb600 |
| 13 | 27966a413 |
| 14 | 16115c880 |
| 15 | c5c3a1a3 |
| hex | 7e2834a0 |
2116564128 has 384 divisors, whose sum is σ = 7538227200. Its totient is φ = 564350976.
The previous prime is 2116564127. The next prime is 2116564133. The reversal of 2116564128 is 8214656112.
It is a happy number.
2116564128 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 5 + 641 + 2 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2116564092 and 2116564101.
It is not an unprimeable number, because it can be changed into a prime (2116564123) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 12984975 + ... + 12985137.
It is an arithmetic number, because the mean of its divisors is an integer number (19630800).
Almost surely, 22116564128 is an apocalyptic number.
2116564128 is a gapful number since it is divisible by the number (28) 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 2116564128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769113600).
2116564128 is an abundant number, since it is smaller than the sum of its proper divisors (5421663072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2116564128 is a wasteful number, since it uses less digits than its factorization.
2116564128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 321 (or 307 counting only the distinct ones).
The product of its digits is 23040, while the sum is 36.
The square root of 2116564128 is about 46006.1314174535. The cubic root of 2116564128 is about 1283.9372840360.
The spelling of 2116564128 in words is "two billion, one hundred sixteen million, five hundred sixty-four thousand, one hundred twenty-eight".
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