| Base | Representation |
|---|---|
| bin | 1010001101011110001000… |
| … | …1011010100110010100000 |
| 3 | 1110202020200011110121102000 |
| 4 | 2203113202023110302200 |
| 5 | 2432413430301222000 |
| 6 | 35513223031124000 |
| 7 | 2236043141616504 |
| oct | 243274213246240 |
| 9 | 43666604417360 |
| 10 | 11226544164000 |
| 11 | 3639172561430 |
| 12 | 1313942b13600 |
| 13 | 635873b62939 |
| 14 | 2ab520b1c304 |
| 15 | 147065171000 |
| hex | a35e22d4ca0 |
11226544164000 has 768 divisors, whose sum is σ = 45420965291520. Its totient is φ = 2670220800000.
The previous prime is 11226544163999. The next prime is 11226544164001. The reversal of 11226544164000 is 46144562211.
11226544164000 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 6 + 5 + 4 + 4 + 1 + 640 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (11226544163999) and next prime (11226544164001).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (11226544164001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62874850 + ... + 63053150.
It is an arithmetic number, because the mean of its divisors is an integer number (59141881890).
Almost surely, 211226544164000 is an apocalyptic number.
11226544164000 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 11226544164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22710482645760).
11226544164000 is an abundant number, since it is smaller than the sum of its proper divisors (34194421127520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11226544164000 is a wasteful number, since it uses less digits than its factorization.
11226544164000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 178399 (or 178375 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The spelling of 11226544164000 in words is "eleven trillion, two hundred twenty-six billion, five hundred forty-four million, one hundred sixty-four thousand".
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