Base | Representation |
---|---|
bin | 100110111010011101… |
… | …101011000011000000 |
3 | 10222211221011200020200 |
4 | 212322131223003000 |
5 | 1141032424440321 |
6 | 31110031405200 |
7 | 3006265014423 |
oct | 467235530300 |
9 | 128757150220 |
10 | 41783046336 |
11 | 167a1493159 |
12 | 8121083800 |
13 | 3c2b5b7975 |
14 | 204530d9ba |
15 | 11482e1d26 |
hex | 9ba76b0c0 |
41783046336 has 168 divisors, whose sum is σ = 123641540880. Its totient is φ = 13482491904.
The previous prime is 41783046299. The next prime is 41783046337. The reversal of 41783046336 is 63364038714.
41783046336 is a `hidden beast` number, since 4 + 1 + 7 + 8 + 3 + 0 + 4 + 633 + 6 = 666.
It is a super-2 number, since 2×417830463362 (a number of 22 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 41783046291 and 41783046300.
It is not an unprimeable number, because it can be changed into a prime (41783046337) 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 23 ways as a sum of consecutive naturals, for example, 2791320 + ... + 2806248.
Almost surely, 241783046336 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 41783046336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61820770440).
41783046336 is an abundant number, since it is smaller than the sum of its proper divisors (81858494544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41783046336 is a wasteful number, since it uses less digits than its factorization.
41783046336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15103 (or 15090 counting only the distinct ones).
The product of its (nonzero) digits is 870912, while the sum is 45.
It can be divided in two parts, 417830 and 46336, that added together give a triangular number (464166 = T963).
The spelling of 41783046336 in words is "forty-one billion, seven hundred eighty-three million, forty-six thousand, three hundred thirty-six".
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