Base | Representation |
---|---|
bin | 100000011100101100… |
… | …100110101000100000 |
3 | 10022221010211222200021 |
4 | 200130230212220200 |
5 | 1032323321133432 |
6 | 24001131403224 |
7 | 2342253153064 |
oct | 403454465040 |
9 | 108833758607 |
10 | 34841192992 |
11 | 13859a43a81 |
12 | 69042b3514 |
13 | 3393360238 |
14 | 19873abaa4 |
15 | d8db61697 |
hex | 81cb26a20 |
34841192992 has 48 divisors (see below), whose sum is σ = 71064990360. Its totient is φ = 16794738688.
The previous prime is 34841192989. The next prime is 34841193001. The reversal of 34841192992 is 29929114843.
It can be written as a sum of positive squares in 4 ways, for example, as 29458916496 + 5382276496 = 171636^2 + 73364^2 .
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 7 ways as a sum of consecutive naturals, for example, 600528 + ... + 655984.
Almost surely, 234841192992 is an apocalyptic number.
34841192992 is a gapful number since it is divisible by the number (32) 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 34841192992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35532495180).
34841192992 is an abundant number, since it is smaller than the sum of its proper divisors (36223797368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34841192992 is a wasteful number, since it uses less digits than its factorization.
34841192992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56173 (or 56165 counting only the distinct ones).
The product of its digits is 1119744, while the sum is 52.
The spelling of 34841192992 in words is "thirty-four billion, eight hundred forty-one million, one hundred ninety-two thousand, nine hundred ninety-two".
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