| Base | Representation |
|---|---|
| bin | 10101011110101001… |
| … | …01101101100100000 |
| 3 | 1002202122022200001100 |
| 4 | 22233110231230200 |
| 5 | 142104013034230 |
| 6 | 5144125234400 |
| 7 | 555521043132 |
| oct | 125724555440 |
| 9 | 32678280040 |
| 10 | 11531377440 |
| 11 | 4988186600 |
| 12 | 2299a02a00 |
| 13 | 111a04767b |
| 14 | 7b56b3052 |
| 15 | 477554660 |
| hex | 2af52db20 |
11531377440 has 648 divisors, whose sum is σ = 46148012820. Its totient is φ = 2619555840.
The previous prime is 11531377357. The next prime is 11531377483. The reversal of 11531377440 is 4477313511.
It is a happy number.
11531377440 is a `hidden beast` number, since 11 + 531 + 3 + 7 + 74 + 40 = 666.
11531377440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 10519374096 + 1012003344 = 102564^2 + 31812^2 .
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 = 11531377395 and 11531377404.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 50355246 + ... + 50355474.
Almost surely, 211531377440 is an apocalyptic number.
11531377440 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 11531377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23074006410).
11531377440 is an abundant number, since it is smaller than the sum of its proper divisors (34616635380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11531377440 is a wasteful number, since it uses less digits than its factorization.
11531377440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 306 (or 267 counting only the distinct ones).
The product of its (nonzero) digits is 35280, while the sum is 36.
The spelling of 11531377440 in words is "eleven billion, five hundred thirty-one million, three hundred seventy-seven thousand, four hundred forty".
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