Search a number
-
+
19557850389558 = 23132531489124439
BaseRepresentation
bin1000111001001101010101…
…01110011001110000110110
32120020201020012222001222220
410130212222232121300312
510030413434144431213
6105332430305303210
74056002523240135
oct434465256316066
976221205861886
1019557850389558
11626048a744548
12223a538634b06
13abb3b3455300
144b886820991c
1523db27ddde23
hex11c9aab99c36

19557850389558 has 96 divisors (see below), whose sum is σ = 43159889560320. Its totient is φ = 5903618647680.

The previous prime is 19557850389443. The next prime is 19557850389559. The reversal of 19557850389558 is 85598305875591.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19557850389559) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 800259903 + ... + 800284341.

It is an arithmetic number, because the mean of its divisors is an integer number (449582182920).

Almost surely, 219557850389558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19557850389558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21579944780160).

19557850389558 is an abundant number, since it is smaller than the sum of its proper divisors (23602039170762).

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

19557850389558 is a wasteful number, since it uses less digits than its factorization.

19557850389558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39414 (or 39401 counting only the distinct ones).

The product of its (nonzero) digits is 2721600000, while the sum is 78.

The spelling of 19557850389558 in words is "nineteen trillion, five hundred fifty-seven billion, eight hundred fifty million, three hundred eighty-nine thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 169 318 338 507 689 1014 1378 2067 4134 8957 14891 17914 24439 26871 29782 44673 48878 53742 73317 89346 146634 193583 317707 387166 580749 635414 789223 953121 1161498 1295267 1578446 1906242 2367669 2516579 2590534 3885801 4130191 4735338 5033158 7549737 7771602 8260382 10259899 12390573 15099474 16838471 20519798 24781146 30779697 33676942 50515413 61559394 101030826 133378687 218900123 266757374 363921149 400136061 437800246 656700369 727842298 800272122 1091763447 1313400738 2183526894 4730974937 9461949874 14192924811 19287820897 28385849622 38575641794 57863462691 61502674181 115726925382 123005348362 184508022543 250741671661 369016045086 501483343322 752225014983 1504450029966 3259641731593 6519283463186 9778925194779 19557850389558