Base | Representation |
---|---|
bin | 1110111010101101… |
… | …10001110010100000 |
3 | 202200010210021100200 |
4 | 13131112301302200 |
5 | 112400212000021 |
6 | 3402410145200 |
7 | 402314565510 |
oct | 73526616240 |
9 | 22603707320 |
10 | 8008703136 |
11 | 343a782225 |
12 | 1676122200 |
13 | 9a829c5c5 |
14 | 55d8d1840 |
15 | 31d169126 |
hex | 1dd5b1ca0 |
8008703136 has 144 divisors (see below), whose sum is σ = 26195105664. Its totient is φ = 2273536512.
The previous prime is 8008703123. The next prime is 8008703159. The reversal of 8008703136 is 6313078008.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 8008703136.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303861 + ... + 329163.
It is an arithmetic number, because the mean of its divisors is an integer number (181910456).
Almost surely, 28008703136 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 8008703136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13097552832).
8008703136 is an abundant number, since it is smaller than the sum of its proper divisors (18186402528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8008703136 is a wasteful number, since it uses less digits than its factorization.
8008703136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25483 (or 25472 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 8008703136 is about 89491.3578844349. The cubic root of 8008703136 is about 2000.7249984902.
The spelling of 8008703136 in words is "eight billion, eight million, seven hundred three thousand, one hundred thirty-six".
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