Base | Representation |
---|---|
bin | 11100101110001101101001… |
… | …101010101101000101100000 |
3 | 121120021011201120201110010200 |
4 | 130232031221222231011200 |
5 | 113024121010310220211 |
6 | 1124355031511025200 |
7 | 35415252345203640 |
oct | 3456155152550540 |
9 | 546234646643120 |
10 | 126321055945056 |
11 | 37282505997045 |
12 | 12201a4a06b200 |
13 | 556404198a54b |
14 | 2329d865d8520 |
15 | e90d7959ab56 |
hex | 72e369aad160 |
126321055945056 has 288 divisors, whose sum is σ = 424758078239040. Its totient is φ = 34842430844928.
The previous prime is 126321055945043. The next prime is 126321055945057. The reversal of 126321055945056 is 650549550123621.
126321055945056 is a `hidden beast` number, since 1 + 2 + 6 + 32 + 1 + 0 + 559 + 4 + 5 + 0 + 56 = 666.
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 = 126321055944993 and 126321055945011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126321055945057) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439330170 + ... + 439617606.
It is an arithmetic number, because the mean of its divisors is an integer number (1474854438330).
Almost surely, 2126321055945056 is an apocalyptic number.
126321055945056 is a gapful number since it is divisible by the number (16) 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 126321055945056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212379039119520).
126321055945056 is an abundant number, since it is smaller than the sum of its proper divisors (298437022293984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126321055945056 is a wasteful number, since it uses less digits than its factorization.
126321055945056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 295006 (or 294995 counting only the distinct ones).
The product of its (nonzero) digits is 9720000, while the sum is 54.
The spelling of 126321055945056 in words is "one hundred twenty-six trillion, three hundred twenty-one billion, fifty-five million, nine hundred forty-five thousand, fifty-six".
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