Base | Representation |
---|---|
bin | 111111001000101… |
… | …0010001010000000 |
3 | 12110122020220211200 |
4 | 1332101102022000 |
5 | 13314311210112 |
6 | 550113541200 |
7 | 103332420213 |
oct | 17621221200 |
9 | 5418226750 |
10 | 2118460032 |
11 | 9978a7417 |
12 | 4b1574800 |
13 | 279b82360 |
14 | 1614d377a |
15 | c5eb1cdc |
hex | 7e452280 |
2118460032 has 384 divisors, whose sum is σ = 7127462160. Its totient is φ = 598081536.
The previous prime is 2118460013. The next prime is 2118460067. The reversal of 2118460032 is 2300648112.
2118460032 is a `hidden beast` number, since 21 + 1 + 8 + 4 + 600 + 32 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 974938176 + 1143521856 = 31224^2 + 33816^2 .
It is a tau number, because it is divible by the number of its divisors (384).
It is a junction number, because it is equal to n+sod(n) for n = 2118459978 and 2118460005.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13493298 + ... + 13493454.
Almost surely, 22118460032 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 2118460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563731080).
2118460032 is an abundant number, since it is smaller than the sum of its proper divisors (5009002128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2118460032 is a wasteful number, since it uses less digits than its factorization.
2118460032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 260 (or 245 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 2118460032 is about 46026.7317110394. The cubic root of 2118460032 is about 1284.3205302206.
The spelling of 2118460032 in words is "two billion, one hundred eighteen million, four hundred sixty thousand, thirty-two".
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