Base | Representation |
---|---|
bin | 11010111000001110000000… |
… | …001011111100101100100000 |
3 | 120111120000012211222102201200 |
4 | 122320032000023330230200 |
5 | 110443243233042104043 |
6 | 1055230031125201200 |
7 | 33620400554514015 |
oct | 3270160013745440 |
9 | 514500184872650 |
10 | 118212535503648 |
11 | 34736722551aa3 |
12 | 1131246ab60200 |
13 | 50c6518282461 |
14 | 212973547770c |
15 | d9eea539a7d3 |
hex | 6b83802fcb20 |
118212535503648 has 288 divisors, whose sum is σ = 353928919780800. Its totient is φ = 37371404851200.
The previous prime is 118212535503641. The next prime is 118212535503661. The reversal of 118212535503648 is 846305535212811.
118212535503648 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 1 + 2 + 53 + 550 + 36 + 4 + 8 = 666.
118212535503648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a junction number, because it is equal to n+sod(n) for n = 118212535503594 and 118212535503603.
It is not an unprimeable number, because it can be changed into a prime (118212535503641) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636070578 + ... + 636256398.
It is an arithmetic number, because the mean of its divisors is an integer number (1228919860350).
Almost surely, 2118212535503648 is an apocalyptic number.
118212535503648 is a gapful number since it is divisible by the number (18) 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 118212535503648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176964459890400).
118212535503648 is an abundant number, since it is smaller than the sum of its proper divisors (235716384277152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
118212535503648 is a wasteful number, since it uses less digits than its factorization.
118212535503648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 187216 (or 187205 counting only the distinct ones).
The product of its (nonzero) digits is 6912000, while the sum is 54.
The spelling of 118212535503648 in words is "one hundred eighteen trillion, two hundred twelve billion, five hundred thirty-five million, five hundred three thousand, six hundred forty-eight".
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