Base | Representation |
---|---|
bin | 111110111000111… |
… | …100001000110000 |
3 | 2201112101100000000 |
4 | 332320330020300 |
5 | 4130102120101 |
6 | 252410430000 |
7 | 35101214313 |
oct | 7670741060 |
9 | 2645340000 |
10 | 1055113776 |
11 | 4a1647662 |
12 | 255432300 |
13 | 13a7960a2 |
14 | a01b697a |
15 | 6296b486 |
hex | 3ee3c230 |
1055113776 has 270 divisors, whose sum is σ = 3374085260. Its totient is φ = 318707136.
The previous prime is 1055113751. The next prime is 1055113777. The reversal of 1055113776 is 6773115501.
1055113776 is a `hidden beast` number, since 1 + 0 + 551 + 1 + 37 + 76 = 666.
1055113776 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 2×10551137762 = 2226530160609956352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1055113776.
It is not an unprimeable number, because it can be changed into a prime (1055113777) by changing a digit.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 45874501 + ... + 45874523.
Almost surely, 21055113776 is an apocalyptic number.
1055113776 is a gapful number since it is divisible by the number (16) 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 1055113776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687042630).
1055113776 is an abundant number, since it is smaller than the sum of its proper divisors (2318971484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1055113776 is an frugal number, since it uses more digits than its factorization.
1055113776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 97 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 22050, while the sum is 36.
The square root of 1055113776 is about 32482.5149272651. The cubic root of 1055113776 is about 1018.0437244727.
The spelling of 1055113776 in words is "one billion, fifty-five million, one hundred thirteen thousand, seven hundred seventy-six".
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