| Base | Representation |
|---|---|
| bin | 111111100101100… |
| … | …0101101001100000 |
| 3 | 12111200202210000100 |
| 4 | 1333023011221200 |
| 5 | 13332201110102 |
| 6 | 551414422400 |
| 7 | 103605261336 |
| oct | 17713055140 |
| 9 | 5450683010 |
| 10 | 2133613152 |
| 11 | 9a5407160 |
| 12 | 4b6661a00 |
| 13 | 2800595b8 |
| 14 | 163519b56 |
| 15 | c74a6a1c |
| hex | 7f2c5a60 |
2133613152 has 288 divisors, whose sum is σ = 7079698080. Its totient is φ = 602357760.
The previous prime is 2133613133. The next prime is 2133613159. The reversal of 2133613152 is 2513163312.
2133613152 is a `hidden beast` number, since 2 + 1 + 33 + 613 + 15 + 2 = 666.
2133613152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2133613159) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9316974 + ... + 9317202.
It is an arithmetic number, because the mean of its divisors is an integer number (24582285).
Almost surely, 22133613152 is an apocalyptic number.
2133613152 is a gapful number since it is divisible by the number (22) 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 2133613152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539849040).
2133613152 is an abundant number, since it is smaller than the sum of its proper divisors (4946084928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2133613152 is a wasteful number, since it uses less digits than its factorization.
2133613152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 446 (or 435 counting only the distinct ones).
The product of its digits is 3240, while the sum is 27.
The square root of 2133613152 is about 46191.0505617701. The cubic root of 2133613152 is about 1287.3754607536.
Adding to 2133613152 its reverse (2513163312), we get a palindrome (4646776464).
The spelling of 2133613152 in words is "two billion, one hundred thirty-three million, six hundred thirteen thousand, one hundred fifty-two".
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