| Base | Representation |
|---|---|
| bin | 11000010100011100… |
| … | …10011001000000000 |
| 3 | 1020200220221222110000 |
| 4 | 30022032103020000 |
| 5 | 203214421004100 |
| 6 | 5555324240000 |
| 7 | 641356521300 |
| oct | 141216231000 |
| 9 | 36626858400 |
| 10 | 13056422400 |
| 11 | 55a001243a |
| 12 | 26446a0000 |
| 13 | 1300c98438 |
| 14 | 8bc055600 |
| 15 | 516399900 |
| hex | 30a393200 |
13056422400 has 900 divisors, whose sum is σ = 56430936738. Its totient is φ = 2972712960.
The previous prime is 13056422389. The next prime is 13056422411. The reversal of 13056422400 is 422465031.
13056422400 is a `hidden beast` number, since 13 + 0 + 5 + 642 + 2 + 4 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (13056422389) and next prime (13056422411).
It can be written as a sum of positive squares in 3 ways, for example, as 12518924544 + 537497856 = 111888^2 + 23184^2 .
It is a tau number, because it is divible by the number of its divisors (900).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50803072 + ... + 50803328.
Almost surely, 213056422400 is an apocalyptic number.
13056422400 is a gapful number since it is divisible by the number (10) 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 13056422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28215468369).
13056422400 is an abundant number, since it is smaller than the sum of its proper divisors (43374514338).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13056422400 is an equidigital number, since it uses as much as digits as its factorization.
13056422400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 311 (or 274 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
Adding to 13056422400 its reverse (422465031), we get a palindrome (13478887431).
The spelling of 13056422400 in words is "thirteen billion, fifty-six million, four hundred twenty-two thousand, four hundred".
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