| Base | Representation |
|---|---|
| bin | 1111001001010000… |
| … | …01011100000000000 |
| 3 | 202222122100122000100 |
| 4 | 13210220023200000 |
| 5 | 113122430033113 |
| 6 | 3422445122400 |
| 7 | 405325566330 |
| oct | 74450134000 |
| 9 | 22878318010 |
| 10 | 8130705408 |
| 11 | 34a2631351 |
| 12 | 16aab59400 |
| 13 | 9c76479b7 |
| 14 | 571bad0c0 |
| 15 | 328c17d73 |
| hex | 1e4a0b800 |
8130705408 has 576 divisors, whose sum is σ = 28976875200. Its totient is φ = 2146959360.
The previous prime is 8130705403. The next prime is 8130705419. The reversal of 8130705408 is 8045070318.
8130705408 is a `hidden beast` number, since 81 + 30 + 7 + 0 + 540 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×81307054082 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8130705403) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153409510 + ... + 153409562.
It is an arithmetic number, because the mean of its divisors is an integer number (50307075).
Almost surely, 28130705408 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 8130705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488437600).
8130705408 is an abundant number, since it is smaller than the sum of its proper divisors (20846169792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8130705408 is a wasteful number, since it uses less digits than its factorization.
8130705408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 158 (or 135 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 36.
The square root of 8130705408 is about 90170.4242420984. The cubic root of 8130705408 is about 2010.8333308537.
The spelling of 8130705408 in words is "eight billion, one hundred thirty million, seven hundred five thousand, four hundred eight".
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