| Base | Representation |
|---|---|
| bin | 10100101111000001… |
| … | …01100110000100000 |
| 3 | 1001201210120101120200 |
| 4 | 22113200230300200 |
| 5 | 140244224204034 |
| 6 | 5040334305200 |
| 7 | 542600205150 |
| oct | 122740546040 |
| 9 | 31653511520 |
| 10 | 11131866144 |
| 11 | 47a2714883 |
| 12 | 21a8058200 |
| 13 | 1085347659 |
| 14 | 7785d8760 |
| 15 | 45243aa99 |
| hex | 29782cc20 |
11131866144 has 144 divisors (see below), whose sum is σ = 37020215232. Its totient is φ = 3106543104.
The previous prime is 11131866143. The next prime is 11131866211. The reversal of 11131866144 is 44166813111.
11131866144 is a `hidden beast` number, since 1 + 1 + 1 + 31 + 8 + 6 + 614 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 11131866099 and 11131866108.
It is not an unprimeable number, because it can be changed into a prime (11131866143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22482 + ... + 150894.
It is an arithmetic number, because the mean of its divisors is an integer number (257084828).
Almost surely, 211131866144 is an apocalyptic number.
11131866144 is a gapful number since it is divisible by the number (14) 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 11131866144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18510107616).
11131866144 is an abundant number, since it is smaller than the sum of its proper divisors (25888349088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11131866144 is a wasteful number, since it uses less digits than its factorization.
11131866144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128479 (or 128468 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The spelling of 11131866144 in words is "eleven billion, one hundred thirty-one million, eight hundred sixty-six thousand, one hundred forty-four".
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