Base | Representation |
---|---|
bin | 100111100000000000… |
… | …1111001110100000000 |
3 | 22002221200021111210000 |
4 | 1033000001321310000 |
5 | 2342210440244130 |
6 | 102545113440000 |
7 | 6062032656600 |
oct | 1170001716400 |
9 | 262850244700 |
10 | 84826103040 |
11 | 32a7a13a798 |
12 | 14534110000 |
13 | 7ccac486a3 |
14 | 4169ad0c00 |
15 | 2317025260 |
hex | 13c0079d00 |
84826103040 has 1080 divisors, whose sum is σ = 360331282080. Its totient is φ = 18992848896.
The previous prime is 84826103029. The next prime is 84826103069. The reversal of 84826103040 is 4030162848.
84826103040 is a `hidden beast` number, since 8 + 4 + 8 + 2 + 610 + 30 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1080).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 84826102986 and 84826103004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 299738739 + ... + 299739021.
It is an arithmetic number, because the mean of its divisors is an integer number (333640076).
Almost surely, 284826103040 is an apocalyptic number.
84826103040 is a gapful number since it is divisible by the number (80) 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 84826103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180165641040).
84826103040 is an abundant number, since it is smaller than the sum of its proper divisors (275505179040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84826103040 is a wasteful number, since it uses less digits than its factorization.
84826103040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 389 (or 359 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
Adding to 84826103040 its reverse (4030162848), we get a palindrome (88856265888).
The spelling of 84826103040 in words is "eighty-four billion, eight hundred twenty-six million, one hundred three thousand, forty".
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