| Base | Representation |
|---|---|
| bin | 10111111101001110… |
| … | …01110000000000000 |
| 3 | 1020012100102102100000 |
| 4 | 23332213032000000 |
| 5 | 202320034102131 |
| 6 | 5524125200000 |
| 7 | 633503015640 |
| oct | 137647160000 |
| 9 | 36170372300 |
| 10 | 12861628416 |
| 11 | 550006587a |
| 12 | 25ab400000 |
| 13 | 129c814920 |
| 14 | 8a022a520 |
| 15 | 50421cce6 |
| hex | 2fe9ce000 |
12861628416 has 672 divisors, whose sum is σ = 48088954368. Its totient is φ = 3344302080.
The previous prime is 12861628411. The next prime is 12861628427. The reversal of 12861628416 is 61482616821.
It is a happy number.
12861628416 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 1 + 628 + 4 + 16 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×128616284162 (a number of 21 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
Its product of digits (221184) is a multiple of the sum of its prime divisors (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12861628411) 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, 181149661 + ... + 181149731.
It is an arithmetic number, because the mean of its divisors is an integer number (71560944).
Almost surely, 212861628416 is an apocalyptic number.
12861628416 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 12861628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24044477184).
12861628416 is an abundant number, since it is smaller than the sum of its proper divisors (35227325952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12861628416 is an frugal number, since it uses more digits than its factorization.
12861628416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132 (or 96 counting only the distinct ones).
The product of its digits is 221184, while the sum is 45.
The spelling of 12861628416 in words is "twelve billion, eight hundred sixty-one million, six hundred twenty-eight thousand, four hundred sixteen".
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