| Base | Representation |
|---|---|
| bin | 10110011010011101… |
| … | …11010110100100000 |
| 3 | 1011001121112121122100 |
| 4 | 23031032322310200 |
| 5 | 144120443043231 |
| 6 | 5310012410400 |
| 7 | 604123204215 |
| oct | 131516726440 |
| 9 | 34047477570 |
| 10 | 12033174816 |
| 11 | 5115460383 |
| 12 | 23b9a76a00 |
| 13 | 1199cab8b0 |
| 14 | 8221b5b0c |
| 15 | 4a66251e6 |
| hex | 2cd3bad20 |
12033174816 has 144 divisors (see below), whose sum is σ = 37143235584. Its totient is φ = 3673216512.
The previous prime is 12033174809. The next prime is 12033174833. The reversal of 12033174816 is 61847133021.
It is a happy number.
12033174816 is digitally balanced in base 2, 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 (144).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462835 + ... + 488141.
It is an arithmetic number, because the mean of its divisors is an integer number (257939136).
Almost surely, 212033174816 is an apocalyptic number.
12033174816 is a gapful number since it is divisible by the number (16) 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 12033174816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18571617792).
12033174816 is an abundant number, since it is smaller than the sum of its proper divisors (25110060768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12033174816 is a wasteful number, since it uses less digits than its factorization.
12033174816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25463 (or 25452 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The spelling of 12033174816 in words is "twelve billion, thirty-three million, one hundred seventy-four thousand, eight hundred sixteen".
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