Base | Representation |
---|---|
bin | 11111001111001100000… |
… | …011000001000110000100 |
3 | 21121012210002020100001100 |
4 | 133033030003001012010 |
5 | 240132230134224214 |
6 | 4322050121300100 |
7 | 311042022100242 |
oct | 37171403010604 |
9 | 7535702210040 |
10 | 2146612023684 |
11 | 758411586207 |
12 | 2a8040034630 |
13 | 127569c3a6cb |
14 | 75c7a2c3792 |
15 | 3ac8942c309 |
hex | 1f3cc0c1184 |
2146612023684 has 72 divisors (see below), whose sum is σ = 5524111967192. Its totient is φ = 702658644480.
The previous prime is 2146612023683. The next prime is 2146612023739. The reversal of 2146612023684 is 4863202166412.
2146612023684 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 612 + 0 + 23 + 6 + 8 + 4 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 165071564100 + 1981540459584 = 406290^2 + 1407672^2 .
It is not an unprimeable number, because it can be changed into a prime (2146612023683) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548832 + ... + 2143464.
Almost surely, 22146612023684 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 2146612023684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762055983596).
2146612023684 is an abundant number, since it is smaller than the sum of its proper divisors (3377499943508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2146612023684 is a wasteful number, since it uses less digits than its factorization.
2146612023684 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1595317 (or 1595312 counting only the distinct ones).
The product of its (nonzero) digits is 663552, while the sum is 45.
The spelling of 2146612023684 in words is "two trillion, one hundred forty-six billion, six hundred twelve million, twenty-three thousand, six hundred eighty-four".
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