Base | Representation |
---|---|
bin | 111010110001011001… |
… | …1110101011100100000 |
3 | 110001202220210002202200 |
4 | 1311202303311130200 |
5 | 4031440210311013 |
6 | 133551513013200 |
7 | 12055434441630 |
oct | 1654263653440 |
9 | 401686702680 |
10 | 126211807008 |
11 | 49587302721 |
12 | 205640b4200 |
13 | bb95112611 |
14 | 617432c6c0 |
15 | 343a4cae73 |
hex | 1d62cf5720 |
126211807008 has 144 divisors (see below), whose sum is σ = 410714740800. Its totient is φ = 36014243328.
The previous prime is 126211806983. The next prime is 126211807009. The reversal of 126211807008 is 800708112621.
126211807008 is a `hidden beast` number, since 12 + 621 + 18 + 0 + 7 + 0 + 0 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (126211807009) 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 23 ways as a sum of consecutive naturals, for example, 1546818 + ... + 1626366.
It is an arithmetic number, because the mean of its divisors is an integer number (2852185700).
Almost surely, 2126211807008 is an apocalyptic number.
126211807008 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 126211807008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205357370400).
126211807008 is an abundant number, since it is smaller than the sum of its proper divisors (284502933792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126211807008 is a wasteful number, since it uses less digits than its factorization.
126211807008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 80359 (or 80348 counting only the distinct ones).
The product of its (nonzero) digits is 10752, while the sum is 36.
Adding to 126211807008 its reverse (800708112621), we get a palindrome (926919919629).
The spelling of 126211807008 in words is "one hundred twenty-six billion, two hundred eleven million, eight hundred seven thousand, eight".
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