Base | Representation |
---|---|
bin | 1110010011100000011… |
… | …11011001000101100000 |
3 | 1201222200010120020201120 |
4 | 13021300033121011200 |
5 | 31023102343323343 |
6 | 1013443555132240 |
7 | 50340026404011 |
oct | 7116017310540 |
9 | 1658603506646 |
10 | 491509354848 |
11 | 17a4a2243096 |
12 | 7b3115a4080 |
13 | 374700798a5 |
14 | 19b0971b008 |
15 | cbba51b683 |
hex | 72703d9160 |
491509354848 has 96 divisors (see below), whose sum is σ = 1315727183232. Its totient is φ = 160626585600.
The previous prime is 491509354841. The next prime is 491509354937. The reversal of 491509354848 is 848453905194.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×4915093548482 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 491509354791 and 491509354800.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (491509354841) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 808368 + ... + 1279248.
It is an arithmetic number, because the mean of its divisors is an integer number (13705491492).
Almost surely, 2491509354848 is an apocalyptic number.
491509354848 is a gapful number since it is divisible by the number (48) 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 491509354848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657863591616).
491509354848 is an abundant number, since it is smaller than the sum of its proper divisors (824217828384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
491509354848 is a wasteful number, since it uses less digits than its factorization.
491509354848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 471108 (or 471100 counting only the distinct ones).
The product of its (nonzero) digits is 24883200, while the sum is 60.
The spelling of 491509354848 in words is "four hundred ninety-one billion, five hundred nine million, three hundred fifty-four thousand, eight hundred forty-eight".
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