| Base | Representation |
|---|---|
| bin | 10101101010101110… |
| … | …11111100100000000 |
| 3 | 1010000201002220111200 |
| 4 | 22311113133210000 |
| 5 | 142310442104110 |
| 6 | 5202150341200 |
| 7 | 561161623146 |
| oct | 126527374400 |
| 9 | 33021086450 |
| 10 | 11632769280 |
| 11 | 4a2a438810 |
| 12 | 230795a800 |
| 13 | 1135057842 |
| 14 | 7c4d47596 |
| 15 | 4813d16c0 |
| hex | 2b55df900 |
11632769280 has 432 divisors, whose sum is σ = 44998087680. Its totient is φ = 2750054400.
The previous prime is 11632769249. The next prime is 11632769287. The reversal of 11632769280 is 8296723611.
11632769280 is a `hidden beast` number, since 1 + 1 + 632 + 7 + 6 + 9 + 2 + 8 + 0 = 666.
11632769280 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 2×116327692802 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (11632769287) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 5194401 + ... + 5196639.
It is an arithmetic number, because the mean of its divisors is an integer number (104162240).
Almost surely, 211632769280 is an apocalyptic number.
11632769280 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 11632769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22499043840).
11632769280 is an abundant number, since it is smaller than the sum of its proper divisors (33365318400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11632769280 is a wasteful number, since it uses less digits than its factorization.
11632769280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2318 (or 2301 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The spelling of 11632769280 in words is "eleven billion, six hundred thirty-two million, seven hundred sixty-nine thousand, two hundred eighty".
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