Base | Representation |
---|---|
bin | 1011011111111000101010001… |
… | …0101101001100010000010000 |
3 | 10221002211120210102002102100100 |
4 | 2313332022202231030100100 |
5 | 1322023012332311424140 |
6 | 11544502013004452400 |
7 | 332266406032126110 |
oct | 26776124255142020 |
9 | 3832746712072310 |
10 | 809114438779920 |
11 | 214899563137589 |
12 | 768b797054a100 |
13 | 28962219945780 |
14 | 103b34c248d040 |
15 | 6381dcb57a530 |
hex | 2dfe2a2b4c410 |
809114438779920 has 960 divisors, whose sum is σ = 3354334428856320. Its totient is φ = 170204412284928.
The previous prime is 809114438779861. The next prime is 809114438779991. The reversal of 809114438779920 is 29977834411908.
809114438779920 is a `hidden beast` number, since 8 + 0 + 9 + 1 + 1 + 443 + 8 + 77 + 99 + 20 = 666.
It is a hoax number, since the sum of its digits (72) 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 (72).
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 98444385571 + ... + 98444393789.
It is an arithmetic number, because the mean of its divisors is an integer number (3494098363392).
Almost surely, 2809114438779920 is an apocalyptic number.
809114438779920 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 809114438779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677167214428160).
809114438779920 is an abundant number, since it is smaller than the sum of its proper divisors (2545219990076400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
809114438779920 is a wasteful number, since it uses less digits than its factorization.
809114438779920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12564 (or 12555 counting only the distinct ones).
The product of its (nonzero) digits is 219469824, while the sum is 72.
The spelling of 809114438779920 in words is "eight hundred nine trillion, one hundred fourteen billion, four hundred thirty-eight million, seven hundred seventy-nine thousand, nine hundred twenty".
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