Search a number
-
+
20031524324 = 22731411015573
BaseRepresentation
bin10010101001111110…
…001100110111100100
31220201000211212111022
4102221332030313210
5312011032234244
613111413030312
71306254101360
oct225176146744
956630755438
1020031524324
11854a300789
123a70625398
131b73094696
14d805702a0
157c38e66ee
hex4a9f8cde4

20031524324 has 96 divisors (see below), whose sum is σ = 42791196672. Its totient is φ = 8023680000.

The previous prime is 20031524291. The next prime is 20031524327. The reversal of 20031524324 is 42342513002.

It is a junction number, because it is equal to n+sod(n) for n = 20031524293 and 20031524302.

It is not an unprimeable number, because it can be changed into a prime (20031524327) 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 31 ways as a sum of consecutive naturals, for example, 3591602 + ... + 3597174.

It is an arithmetic number, because the mean of its divisors is an integer number (445741632).

Almost surely, 220031524324 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 20031524324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21395598336).

20031524324 is an abundant number, since it is smaller than the sum of its proper divisors (22759672348).

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

20031524324 is a wasteful number, since it uses less digits than its factorization.

20031524324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5755 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The spelling of 20031524324 in words is "twenty billion, thirty-one million, five hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 41 62 82 101 124 164 202 217 287 404 434 574 707 868 1148 1271 1414 2542 2828 3131 4141 5084 5573 6262 8282 8897 11146 12524 16564 17794 21917 22292 28987 35588 39011 43834 57974 78022 87668 115948 128371 156044 172763 228493 256742 345526 456986 513484 562873 691052 898597 913972 1125746 1209341 1599451 1797194 2251492 2418682 3198902 3594388 3940111 4837364 6397804 7083283 7880222 14166566 15760444 17449063 23077793 28333132 34898126 46155586 49582981 69796252 92311172 99165962 122143441 161544551 198331924 244286882 323089102 488573764 646178204 715411583 1430823166 2861646332 5007881081 10015762162 20031524324