| Base | Representation |
|---|---|
| bin | 10101001001111110… |
| … | …11010110110000000 |
| 3 | 1002022120010100112000 |
| 4 | 22210333122312000 |
| 5 | 141230123214130 |
| 6 | 5115013504000 |
| 7 | 551314413540 |
| oct | 124477326600 |
| 9 | 32276110460 |
| 10 | 11358023040 |
| 11 | 48a9342901 |
| 12 | 224b942000 |
| 13 | 10c015c5c0 |
| 14 | 79a669320 |
| 15 | 467210260 |
| hex | 2a4fdad80 |
11358023040 has 1024 divisors, whose sum is σ = 51325747200. Its totient is φ = 2309160960.
The previous prime is 11358023003. The next prime is 11358023041. The reversal of 11358023040 is 4032085311.
It is a happy number.
11358023040 is a `hidden beast` number, since 1 + 1 + 358 + 0 + 2 + 304 + 0 = 666.
11358023040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 11358022995 and 11358023013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11358023041) 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 127 ways as a sum of consecutive naturals, for example, 48746764 + ... + 48746996.
It is an arithmetic number, because the mean of its divisors is an integer number (50122800).
Almost surely, 211358023040 is an apocalyptic number.
11358023040 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 11358023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662873600).
11358023040 is an abundant number, since it is smaller than the sum of its proper divisors (39967724160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11358023040 is a wasteful number, since it uses less digits than its factorization.
11358023040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 312 (or 294 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The spelling of 11358023040 in words is "eleven billion, three hundred fifty-eight million, twenty-three thousand, forty".
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