| Base | Representation |
|---|---|
| bin | 1100000000101000101001… |
| … | …1011011001100101100000 |
| 3 | 1201202101112202211122112100 |
| 4 | 3000022022123121211200 |
| 5 | 3212322421242001100 |
| 6 | 44030152254330400 |
| 7 | 2532014332140444 |
| oct | 300121233314540 |
| 9 | 51671482748470 |
| 10 | 13205051906400 |
| 11 | 423125a600a52 |
| 12 | 15932891b9a00 |
| 13 | 74a30080b203 |
| 14 | 3391b103a824 |
| 15 | 17d7613b7400 |
| hex | c028a6d9960 |
13205051906400 has 864 divisors, whose sum is σ = 50536553453568. Its totient is φ = 3231833702400.
The previous prime is 13205051906341. The next prime is 13205051906401. The reversal of 13205051906400 is 460915050231.
13205051906400 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 5 + 0 + 5 + 1 + 9 + 0 + 640 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13205051906401) by changing a digit.
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 143 ways as a sum of consecutive naturals, for example, 1628038345 + ... + 1628046455.
It is an arithmetic number, because the mean of its divisors is an integer number (58491381312).
Almost surely, 213205051906400 is an apocalyptic number.
13205051906400 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 13205051906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25268276726784).
13205051906400 is an abundant number, since it is smaller than the sum of its proper divisors (37331501547168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13205051906400 is a wasteful number, since it uses less digits than its factorization.
13205051906400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8484 (or 8468 counting only the distinct ones).
The product of its (nonzero) digits is 32400, while the sum is 36.
Adding to 13205051906400 its reverse (460915050231), we get a palindrome (13665966956631).
The spelling of 13205051906400 in words is "thirteen trillion, two hundred five billion, fifty-one million, nine hundred six thousand, four hundred".
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