| Base | Representation |
|---|---|
| bin | 111111000100101… |
| … | …0011011010000000 |
| 3 | 12110111022122010000 |
| 4 | 1332021103122000 |
| 5 | 13313242234000 |
| 6 | 550001040000 |
| 7 | 103305555045 |
| oct | 17611233200 |
| 9 | 5414278100 |
| 10 | 2116368000 |
| 11 | 9966a866a |
| 12 | 4b0926000 |
| 13 | 2795cc076 |
| 14 | 16110b1cc |
| 15 | c5bec000 |
| hex | 7e253680 |
2116368000 has 640 divisors, whose sum is σ = 8317520640. Its totient is φ = 532224000.
The previous prime is 2116367983. The next prime is 2116368013. The reversal of 2116368000 is 8636112.
2116368000 is a `hidden beast` number, since 21 + 1 + 636 + 8 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×21163680002 = 8958027022848000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29807965 + ... + 29808035.
It is an arithmetic number, because the mean of its divisors is an integer number (12996126).
Almost surely, 22116368000 is an apocalyptic number.
2116368000 is a gapful number since it is divisible by the number (20) 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 2116368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158760320).
2116368000 is an abundant number, since it is smaller than the sum of its proper divisors (6201152640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2116368000 is an equidigital number, since it uses as much as digits as its factorization.
2116368000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 135 (or 104 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 2116368000 is about 46003.9998261021. Note that the first 3 decimals coincide. The cubic root of 2116368000 is about 1283.8976248187.
It can be divided in two parts, 2116 and 368000, that multiplied together give a cube (778688000 = 9203).
The spelling of 2116368000 in words is "two billion, one hundred sixteen million, three hundred sixty-eight thousand".
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