Base | Representation |
---|---|
bin | 111011011001000001101110… |
… | …111010001111110000000000 |
3 | 1021020211220201010002010120000 |
4 | 323121001232322033300000 |
5 | 233214034001002224120 |
6 | 2323311422151320000 |
7 | 106006260200160600 |
oct | 7331015672176000 |
9 | 1236756633063500 |
10 | 261204591836160 |
11 | 76256277557a65 |
12 | 25367249380000 |
13 | b29964484448b |
14 | 4870526658c00 |
15 | 202e7e6a0b990 |
hex | ed906ee8fc00 |
261204591836160 has 5280 divisors, whose sum is σ = 1199207719987200. Its totient is φ = 53997101383680.
The previous prime is 261204591836159. The next prime is 261204591836249. The reversal of 261204591836160 is 61638195402162.
261204591836160 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 0 + 4 + 5 + 9 + 18 + 3 + 616 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 261204591836097 and 261204591836106.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1663723514802 + ... + 1663723514958.
It is an arithmetic number, because the mean of its divisors is an integer number (227122674240).
Almost surely, 2261204591836160 is an apocalyptic number.
261204591836160 is a gapful number since it is divisible by the number (20) 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 261204591836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599603859993600).
261204591836160 is an abundant number, since it is smaller than the sum of its proper divisors (938003128151040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
261204591836160 is a wasteful number, since it uses less digits than its factorization.
261204591836160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 397 (or 363 counting only the distinct ones).
The product of its (nonzero) digits is 3732480, while the sum is 54.
The spelling of 261204591836160 in words is "two hundred sixty-one trillion, two hundred four billion, five hundred ninety-one million, eight hundred thirty-six thousand, one hundred sixty".
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