Search a number
-
+
589083827601940 = 225112439554494463
BaseRepresentation
bin1000010111110001001100010…
…0010010011000001000010100
32212020202212022210122220011121
42011330103010102120020110
51104203022134331230230
65444513212513213324
7235036621255654456
oct20574230422301024
92766685283586147
10589083827601940
11160778059330100
12560a0485b61244
131c39149c4ca3c8
14a567b48d4a2d6
15481865005177a
hex217c4c4498214

589083827601940 has 72 divisors (see below), whose sum is σ = 1362858673397760. Its totient is φ = 213724345433280.

The previous prime is 589083827601881. The next prime is 589083827601947. The reversal of 589083827601940 is 49106728380985.

It is a super-2 number, since 2×5890838276019402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 589083827601940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (589083827601947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276184852 + ... + 278309611.

It is an arithmetic number, because the mean of its divisors is an integer number (18928592686080).

It is a 1-persistent number, because it is pandigital, but 2⋅589083827601940 = 1178167655203880 is not.

Almost surely, 2589083827601940 is an apocalyptic number.

It is an amenable number.

589083827601940 is an abundant number, since it is smaller than the sum of its proper divisors (773774845795820).

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

589083827601940 is a wasteful number, since it uses less digits than its factorization.

589083827601940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554494933 (or 554494920 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 70.

The spelling of 589083827601940 in words is "five hundred eighty-nine trillion, eighty-three billion, eight hundred twenty-seven million, six hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 439 484 605 878 1210 1756 2195 2420 4390 4829 8780 9658 19316 24145 48290 53119 96580 106238 212476 265595 531190 1062380 554494463 1108988926 2217977852 2772472315 5544944630 6099439093 11089889260 12198878186 24397756372 30497195465 60994390930 67093830023 121988781860 134187660046 243423069257 268375320092 335469150115 486846138514 670938300230 973692277028 1217115346285 1341876600460 2434230692570 2677653761827 4868461385140 5355307523654 10710615047308 13388268809135 26776537618270 29454191380097 53553075236540 58908382760194 117816765520388 147270956900485 294541913800970 589083827601940