Base | Representation |
---|---|
bin | 100011011010111001011… |
… | …100000111101100000000 |
3 | 22121200202000021220221222 |
4 | 203122321130013230000 |
5 | 304334430014133031 |
6 | 5102105401534212 |
7 | 340566225055661 |
oct | 43327134075400 |
9 | 8550660256858 |
10 | 2434062646016 |
11 | 8593099a9301 |
12 | 3338a27a4368 |
13 | 1486b9b51651 |
14 | 85b4887b368 |
15 | 434aeeebe7b |
hex | 236b9707b00 |
2434062646016 has 72 divisors (see below), whose sum is σ = 5145104097504. Its totient is φ = 1145288540160.
The previous prime is 2434062645979. The next prime is 2434062646019. The reversal of 2434062646016 is 6106462604342.
It is a super-2 number, since 2×24340626460162 (a number of 26 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2434062646019) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36789221 + ... + 36855323.
It is an arithmetic number, because the mean of its divisors is an integer number (71459779132).
Almost surely, 22434062646016 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 2434062646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572552048752).
2434062646016 is an abundant number, since it is smaller than the sum of its proper divisors (2711041451488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2434062646016 is an equidigital number, since it uses as much as digits as its factorization.
2434062646016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74597 (or 74583 counting only the distinct ones).
The product of its (nonzero) digits is 995328, while the sum is 44.
The spelling of 2434062646016 in words is "two trillion, four hundred thirty-four billion, sixty-two million, six hundred forty-six thousand, sixteen".
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