| Base | Representation |
|---|---|
| bin | 1010000000100110111010… |
| … | …0011110110101010100000 |
| 3 | 1102222010021110212002022100 |
| 4 | 2200021232203312222200 |
| 5 | 2420303342120330211 |
| 6 | 35223515053210400 |
| 7 | 2214061030613520 |
| oct | 240115643665240 |
| 9 | 42863243762270 |
| 10 | 11005561105056 |
| 11 | 3563483369501 |
| 12 | 1298b50190a00 |
| 13 | 61aa875b096b |
| 14 | 2a0959d77680 |
| 15 | 14142e9e9156 |
| hex | a026e8f6aa0 |
11005561105056 has 288 divisors, whose sum is σ = 36834777907200. Its totient is φ = 3052019243520.
The previous prime is 11005561105003. The next prime is 11005561105057. The reversal of 11005561105056 is 65050116550011.
It is a happy number.
11005561105056 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 556 + 1 + 1 + 0 + 50 + 56 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×110055611050562 (a number of 27 digits) contains 22 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 11005561105056.
It is not an unprimeable number, because it can be changed into a prime (11005561105057) 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 47 ways as a sum of consecutive naturals, for example, 8810961 + ... + 9982191.
It is an arithmetic number, because the mean of its divisors is an integer number (127898534400).
Almost surely, 211005561105056 is an apocalyptic number.
11005561105056 is a gapful number since it is divisible by the number (16) 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 11005561105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18417388953600).
11005561105056 is an abundant number, since it is smaller than the sum of its proper divisors (25829216802144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11005561105056 is a wasteful number, since it uses less digits than its factorization.
11005561105056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1171392 (or 1171381 counting only the distinct ones).
The product of its (nonzero) digits is 22500, while the sum is 36.
Adding to 11005561105056 its reverse (65050116550011), we get a palindrome (76055677655067).
The spelling of 11005561105056 in words is "eleven trillion, five billion, five hundred sixty-one million, one hundred five thousand, fifty-six".
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