| Base | Representation |
|---|---|
| bin | 111111011000100… |
| … | …1001000101000000 |
| 3 | 12111012222012211200 |
| 4 | 1332301021011000 |
| 5 | 13323430431311 |
| 6 | 551012541200 |
| 7 | 103463412330 |
| oct | 17661110500 |
| 9 | 5435865750 |
| 10 | 2126811456 |
| 11 | 9a1590a20 |
| 12 | 4b4321800 |
| 13 | 27b817723 |
| 14 | 1626690c0 |
| 15 | c6ab1556 |
| hex | 7ec49140 |
2126811456 has 336 divisors, whose sum is σ = 7709245440. Its totient is φ = 544527360.
The previous prime is 2126811437. The next prime is 2126811487. The reversal of 2126811456 is 6541186212.
It is a happy number.
2126811456 is a `hidden beast` number, since 2 + 126 + 81 + 1 + 456 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-3 number, since 3×21268114563 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 2126811456.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3503505 + ... + 3504111.
Almost surely, 22126811456 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2126811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854622720).
2126811456 is an abundant number, since it is smaller than the sum of its proper divisors (5582433984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2126811456 is a wasteful number, since it uses less digits than its factorization.
2126811456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 722 (or 709 counting only the distinct ones).
The product of its digits is 23040, while the sum is 36.
The square root of 2126811456 is about 46117.3660999845. The cubic root of 2126811456 is about 1286.0060063556.
Adding to 2126811456 its reverse (6541186212), we get a palindrome (8667997668).
The spelling of 2126811456 in words is "two billion, one hundred twenty-six million, eight hundred eleven thousand, four hundred fifty-six".
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