Base | Representation |
---|---|
bin | 10101110111100101000101… |
… | …01001111010000000000000 |
3 | 20022021021120211101001000000 |
4 | 22323302202221322000000 |
5 | 22300343121240143410 |
6 | 250135510544000000 |
7 | 13062220530616560 |
oct | 1273624251720000 |
9 | 208237524331000 |
10 | 48089182740480 |
11 | 14360564a7a202 |
12 | 548800a000000 |
13 | 20aaa3789707b |
14 | bc37592b6da0 |
15 | 585d9b3c7dc0 |
hex | 2bbca2a7a000 |
48089182740480 has 1568 divisors, whose sum is σ = 208175189846400. Its totient is φ = 10412436750336.
The previous prime is 48089182740367. The next prime is 48089182740493. The reversal of 48089182740480 is 8404728198084.
48089182740480 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 9 + 1 + 82 + 74 + 0 + 480 = 666.
48089182740480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a super-4 number, since 4×480891827404804 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3971352666 + ... + 3971364774.
Almost surely, 248089182740480 is an apocalyptic number.
48089182740480 is a gapful number since it is divisible by the number (40) 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 48089182740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104087594923200).
48089182740480 is an abundant number, since it is smaller than the sum of its proper divisors (160086007105920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48089182740480 is an equidigital number, since it uses as much as digits as its factorization.
48089182740480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12184 (or 12145 counting only the distinct ones).
The product of its (nonzero) digits is 33030144, while the sum is 63.
The spelling of 48089182740480 in words is "forty-eight trillion, eighty-nine billion, one hundred eighty-two million, seven hundred forty thousand, four hundred eighty".
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