| Base | Representation |
|---|---|
| bin | 10111110111011101… |
| … | …11111011110010000 |
| 3 | 1020001222112211102100 |
| 4 | 23323232333132100 |
| 5 | 202220203200131 |
| 6 | 5515242120400 |
| 7 | 632345355051 |
| oct | 137356773620 |
| 9 | 36058484370 |
| 10 | 12813334416 |
| 11 | 548587a883 |
| 12 | 25971b0100 |
| 13 | 1292805bac |
| 14 | 897a58728 |
| 15 | 4eed7d7e6 |
| hex | 2fbbbf790 |
12813334416 has 45 divisors (see below), whose sum is σ = 35863341969. Its totient is φ = 4270658688.
The previous prime is 12813334411. The next prime is 12813334507. The reversal of 12813334416 is 61443331821.
The square root of 12813334416 is 113196.
It is a perfect power (a square), and thus also a powerful number.
12813334416 is a `hidden beast` number, since 1 + 281 + 3 + 334 + 41 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 8907584400 + 3905750016 = 94380^2 + 62496^2 .
It is a super-2 number, since 2×128133344162 (a number of 21 digits) contains 22 as substring.
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 not an unprimeable number, because it can be changed into a prime (12813334411) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1353636 + ... + 1363068.
Almost surely, 212813334416 is an apocalyptic number.
12813334416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
12813334416 is the 113196-th square number.
It is an amenable number.
12813334416 is an abundant number, since it is smaller than the sum of its proper divisors (23050007553).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12813334416 is an frugal number, since it uses more digits than its factorization.
12813334416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18880 (or 9438 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
Multiplying 12813334416 by its sum of digits (36), we get a square (461280038976 = 6791762).
12813334416 divided by its sum of digits (36) gives a square (355925956 = 188662).
The spelling of 12813334416 in words is "twelve billion, eight hundred thirteen million, three hundred thirty-four thousand, four hundred sixteen".
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