| Base | Representation |
|---|---|
| bin | 1010000011011011001111… |
| … | …0101111111011000000000 |
| 3 | 1110010202020001012121112000 |
| 4 | 2200312303311333120000 |
| 5 | 2422102011320034423 |
| 6 | 35302042311504000 |
| 7 | 2220423430535016 |
| oct | 240666365773000 |
| 9 | 43122201177460 |
| 10 | 11053968127488 |
| 11 | 3581a63916970 |
| 12 | 12a63bb688000 |
| 13 | 6225003060c0 |
| 14 | 2a302ccc08b6 |
| 15 | 1428145ca843 |
| hex | a0db3d7f600 |
11053968127488 has 1280 divisors, whose sum is σ = 41133847265280. Its totient is φ = 2879284838400.
The previous prime is 11053968127459. The next prime is 11053968127513. The reversal of 11053968127488 is 88472186935011.
11053968127488 is a `hidden beast` number, since 1 + 1 + 0 + 53 + 9 + 6 + 81 + 27 + 488 = 666.
11053968127488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×110539681274882 (a number of 27 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3259794273 + ... + 3259797663.
It is an arithmetic number, because the mean of its divisors is an integer number (32135818176).
It is a 1-persistent number, because it is pandigital, but 2⋅11053968127488 = 22107936254976 is not.
Almost surely, 211053968127488 is an apocalyptic number.
11053968127488 is a gapful number since it is divisible by the number (18) 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 11053968127488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20566923632640).
11053968127488 is an abundant number, since it is smaller than the sum of its proper divisors (30079879137792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11053968127488 is a wasteful number, since it uses less digits than its factorization.
11053968127488 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3556 (or 3534 counting only the distinct ones).
The product of its (nonzero) digits is 23224320, while the sum is 63.
The spelling of 11053968127488 in words is "eleven trillion, fifty-three billion, nine hundred sixty-eight million, one hundred twenty-seven thousand, four hundred eighty-eight".
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