Base | Representation |
---|---|
bin | 10101110010110011… |
… | …10100000000000000 |
3 | 1010012102112021120200 |
4 | 22321121310000000 |
5 | 142430311024034 |
6 | 5213010005200 |
7 | 562643330334 |
oct | 127131640000 |
9 | 33172467520 |
10 | 11700486144 |
11 | 4a6468a466 |
12 | 2326576800 |
13 | 11460a70a9 |
14 | 7cdd337c4 |
15 | 48730aa99 |
hex | 2b9674000 |
11700486144 has 90 divisors (see below), whose sum is σ = 33800798850. Its totient is φ = 3900112896.
The previous prime is 11700486047. The next prime is 11700486169. The reversal of 11700486144 is 44168400711.
11700486144 is a `hidden beast` number, since 1 + 170 + 0 + 486 + 1 + 4 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 6816153600 + 4884332544 = 82560^2 + 69888^2 .
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 = 11700486099 and 11700486108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107782 + ... + 187130.
Almost surely, 211700486144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11700486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16900399425).
11700486144 is an abundant number, since it is smaller than the sum of its proper divisors (22100312706).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11700486144 is an frugal number, since it uses more digits than its factorization.
11700486144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 79383 (or 79354 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 36.
Adding to 11700486144 its reverse (44168400711), we get a palindrome (55868886855).
The spelling of 11700486144 in words is "eleven billion, seven hundred million, four hundred eighty-six thousand, one hundred forty-four".
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