| Base | Representation |
|---|---|
| bin | 1111010011011011… |
| … | …11111101110100000 |
| 3 | 210012121001221111100 |
| 4 | 13221231333232200 |
| 5 | 113311311204003 |
| 6 | 3435135514400 |
| 7 | 410413556223 |
| oct | 75155775640 |
| 9 | 23177057440 |
| 10 | 8216116128 |
| 11 | 3536868720 |
| 12 | 1713688a00 |
| 13 | a0c250a9c |
| 14 | 57d2835ba |
| 15 | 331489ba3 |
| hex | 1e9b7fba0 |
8216116128 has 144 divisors (see below), whose sum is σ = 25838519616. Its totient is φ = 2455557120.
The previous prime is 8216116123. The next prime is 8216116151.
8216116128 is a `hidden beast` number, since 8 + 21 + 6 + 11 + 612 + 8 = 666.
8216116128 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 8216116092 and 8216116101.
It is not an unprimeable number, because it can be changed into a prime (8216116123) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213501 + ... + 249027.
It is an arithmetic number, because the mean of its divisors is an integer number (179434164).
Almost surely, 28216116128 is an apocalyptic number.
8216116128 is a gapful number since it is divisible by the number (88) 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 8216116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12919259808).
8216116128 is an abundant number, since it is smaller than the sum of its proper divisors (17622403488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8216116128 is a wasteful number, since it uses less digits than its factorization.
8216116128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35627 (or 35616 counting only the distinct ones).
The product of its digits is 9216, while the sum is 36.
The square root of 8216116128 is about 90642.7941316904. The cubic root of 8216116128 is about 2017.8498940323.
It can be divided in two parts, 82161 and 16128, that added together give a palindrome (98289).
The spelling of 8216116128 in words is "eight billion, two hundred sixteen million, one hundred sixteen thousand, one hundred twenty-eight".
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