Base | Representation |
---|---|
bin | 100001010110001… |
… | …0101010110000000 |
3 | 2212222102220222000 |
4 | 1002230111112000 |
5 | 4242420334031 |
6 | 303010144000 |
7 | 36504434436 |
oct | 10254252600 |
9 | 2788386860 |
10 | 1118918016 |
11 | 524666737 |
12 | 272882000 |
13 | 14aa75788 |
14 | a8864d56 |
15 | 683713e6 |
hex | 42b15580 |
1118918016 has 96 divisors (see below), whose sum is σ = 3308176200. Its totient is φ = 372317184.
The previous prime is 1118918011. The next prime is 1118918063. The reversal of 1118918016 is 6108198111.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1118918011) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1966180 + ... + 1966748.
Almost surely, 21118918016 is an apocalyptic number.
1118918016 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 1118918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654088100).
1118918016 is an abundant number, since it is smaller than the sum of its proper divisors (2189258184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1118918016 is an frugal number, since it uses more digits than its factorization.
1118918016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1161 (or 574 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 36.
The square root of 1118918016 is about 33450.2319274471. The cubic root of 1118918016 is about 1038.1642962228.
Multiplying 1118918016 by its product of nonzero digits (3456), we get a square (3866980663296 = 19664642).
1118918016 divided by its product of nonzero digits (3456) gives a square (323761 = 5692).
The spelling of 1118918016 in words is "one billion, one hundred eighteen million, nine hundred eighteen thousand, sixteen".
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