Base | Representation |
---|---|
bin | 1000101110100001010… |
… | …01110010011110010000 |
3 | 1001122222021222220002200 |
4 | 10113100221302132100 |
5 | 14403044424441432 |
6 | 345430054043200 |
7 | 30443434332465 |
oct | 4272051623620 |
9 | 1048867886080 |
10 | 299853358992 |
11 | 106192449790 |
12 | 4a144349500 |
13 | 22378637895 |
14 | 1072788d66c |
15 | 7bee894a7c |
hex | 45d0a72790 |
299853358992 has 120 divisors (see below), whose sum is σ = 915703176960. Its totient is φ = 90840656640.
The previous prime is 299853358967. The next prime is 299853359063.
299853358992 is a `hidden beast` number, since 2 + 9 + 9 + 8 + 5 + 33 + 589 + 9 + 2 = 666.
299853358992 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 299853358992.
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, 6514234 + ... + 6560102.
It is an arithmetic number, because the mean of its divisors is an integer number (7630859808).
Almost surely, 2299853358992 is an apocalyptic number.
299853358992 is a gapful number since it is divisible by the number (22) 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 299853358992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457851588480).
299853358992 is an abundant number, since it is smaller than the sum of its proper divisors (615849817968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
299853358992 is a wasteful number, since it uses less digits than its factorization.
299853358992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 50021 (or 50012 counting only the distinct ones).
The product of its digits is 377913600, while the sum is 72.
The spelling of 299853358992 in words is "two hundred ninety-nine billion, eight hundred fifty-three million, three hundred fifty-eight thousand, nine hundred ninety-two".
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