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2293282852384 = 253743315972801
BaseRepresentation
bin100001010111110010010…
…011110100111000100000
322010020100211021102110011
4201113302103310320200
5300033120402234014
64513304122214304
7324453454421566
oct41276223647040
98106324242404
102293282852384
11804637425717
12310553954394
13138342862b04
147cdd1863a36
153e9c0ae57c4
hex215f24f4e20

2293282852384 has 96 divisors (see below), whose sum is σ = 4652204333616. Its totient is φ = 1111980441600.

The previous prime is 2293282852381. The next prime is 2293282852391. The reversal of 2293282852384 is 4832582823922.

It can be written as a sum of positive squares in 8 ways, for example, as 808150656784 + 1485132195600 = 898972^2 + 1218660^2 .

It is not an unprimeable number, because it can be changed into a prime (2293282852381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 818735784 + ... + 818738584.

Almost surely, 22293282852384 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 2293282852384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326102166808).

2293282852384 is an abundant number, since it is smaller than the sum of its proper divisors (2358921481232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2293282852384 is a wasteful number, since it uses less digits than its factorization.

2293282852384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4870 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 58.

The spelling of 2293282852384 in words is "two trillion, two hundred ninety-three billion, two hundred eighty-two million, eight hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 433 592 866 1184 1597 1732 2801 3194 3464 5602 6388 6928 11204 12776 13856 16021 22408 25552 32042 44816 51104 59089 64084 89632 103637 118178 128168 207274 236356 256336 414548 472712 512672 691501 829096 945424 1212833 1383002 1658192 1890848 2425666 2766004 3316384 4473197 4851332 5532008 8946394 9702664 11064016 17892788 19405328 22128032 25585537 35785576 38810656 44874821 51171074 71571152 89749642 102342148 143142304 165508289 179499284 204684296 331016578 358998568 409368592 662033156 717997136 818737184 1324066312 1435994272 1936894301 2648132624 3873788602 5296265248 7747577204 15495154408 30990308816 61980617632 71665089137 143330178274 286660356548 573320713096 1146641426192 2293282852384