| Base | Representation |
|---|---|
| bin | 10100110101101110… |
| … | …10101100000000000 |
| 3 | 1001212201102222121100 |
| 4 | 22122313111200000 |
| 5 | 140403130204330 |
| 6 | 5050104254400 |
| 7 | 544152360114 |
| oct | 123267254000 |
| 9 | 31781388540 |
| 10 | 11188131840 |
| 11 | 4821455056 |
| 12 | 2202a71400 |
| 13 | 1093bb7972 |
| 14 | 781c83744 |
| 15 | 457352060 |
| hex | 29add5800 |
11188131840 has 288 divisors, whose sum is σ = 39330869760. Its totient is φ = 2940862464.
The previous prime is 11188131839. The next prime is 11188131841. The reversal of 11188131840 is 4813188111.
It is an interprime number because it is at equal distance from previous prime (11188131839) and next prime (11188131841).
It is a tau number, because it is divible by the number of its divisors (288).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 11188131795 and 11188131804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11188131841) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6726849 + ... + 6728511.
It is an arithmetic number, because the mean of its divisors is an integer number (136565520).
Almost surely, 211188131840 is an apocalyptic number.
11188131840 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 11188131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19665434880).
11188131840 is an abundant number, since it is smaller than the sum of its proper divisors (28142737920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11188131840 is a wasteful number, since it uses less digits than its factorization.
11188131840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1769 (or 1746 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 36.
The spelling of 11188131840 in words is "eleven billion, one hundred eighty-eight million, one hundred thirty-one thousand, eight hundred forty".
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