| Base | Representation |
|---|---|
| bin | 1111100000110011… |
| … | …0111010010000000 |
| 3 | 101202012112022010200 |
| 4 | 3320030313102000 |
| 5 | 32012003343403 |
| 6 | 1525111325200 |
| 7 | 205122310404 |
| oct | 37014672200 |
| 9 | 11665468120 |
| 10 | 4164121728 |
| 11 | 18475a1318 |
| 12 | 982680800 |
| 13 | 514926270 |
| 14 | 2b7077104 |
| 15 | 195893ca3 |
| hex | f8337480 |
4164121728 has 192 divisors, whose sum is σ = 13036940280. Its totient is φ = 1268121600.
The previous prime is 4164121721. The next prime is 4164121771. The reversal of 4164121728 is 8271214614.
It is a happy number.
4164121728 is a `hidden beast` number, since 4 + 1 + 641 + 2 + 1 + 7 + 2 + 8 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 4158702144 + 5419584 = 64488^2 + 2328^2 .
It is a tau number, because it is divible by the number of its divisors (192).
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 = 4164121692 and 4164121701.
It is not an unprimeable number, because it can be changed into a prime (4164121721) 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, 1511200 + ... + 1513952.
Almost surely, 24164121728 is an apocalyptic number.
4164121728 is a gapful number since it is divisible by the number (48) 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 4164121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518470140).
4164121728 is an abundant number, since it is smaller than the sum of its proper divisors (8872818552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4164121728 is a wasteful number, since it uses less digits than its factorization.
4164121728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2887 (or 2872 counting only the distinct ones).
The product of its digits is 21504, while the sum is 36.
The square root of 4164121728 is about 64530.0064156203. The cubic root of 4164121728 is about 1608.8212927837.
The spelling of 4164121728 in words is "four billion, one hundred sixty-four million, one hundred twenty-one thousand, seven hundred twenty-eight".
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