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20581784244 = 223273110325579
BaseRepresentation
bin10011001010110001…
…010001101010110100
31222010101020222012100
4103022301101222310
5314122414043434
613242151022100
71326015164610
oct231261215264
958111228170
1020581784244
11880197614a
123ba496a930
131c30096278
14dd368a340
15806d8b699
hex4cac51ab4

20581784244 has 144 divisors (see below), whose sum is σ = 61974814720. Its totient is φ = 5635344960.

The previous prime is 20581784233. The next prime is 20581784273. The reversal of 20581784244 is 44248718502.

20581784244 is a `hidden beast` number, since 2 + 0 + 58 + 178 + 424 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20581784244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791847 + ... + 817425.

Almost surely, 220581784244 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 20581784244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30987407360).

20581784244 is an abundant number, since it is smaller than the sum of its proper divisors (41393030476).

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

20581784244 is a wasteful number, since it uses less digits than its factorization.

20581784244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25730 (or 25725 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 20581784244 in words is "twenty billion, five hundred eighty-one million, seven hundred eighty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 103 124 126 186 206 217 252 279 309 372 412 434 558 618 651 721 868 927 1116 1236 1302 1442 1854 1953 2163 2604 2884 3193 3708 3906 4326 6386 6489 7812 8652 9579 12772 12978 19158 22351 25579 25956 28737 38316 44702 51158 57474 67053 76737 89404 102316 114948 134106 153474 179053 201159 230211 268212 306948 358106 402318 460422 537159 716212 792949 804636 920844 1074318 1585898 1611477 2148636 2378847 2634637 3171796 3222954 4757694 5269274 5550643 6445908 7136541 7903911 9515388 10538548 11101286 14273082 15807822 16651929 18442459 22202572 23711733 28546164 31615644 33303858 36884918 47423466 49955787 55327377 66607716 73769836 81673747 94846932 99911574 110654754 163347494 165982131 199823148 221309508 245021241 326694988 331964262 490042482 571716229 663928524 735063723 980084964 1143432458 1470127446 1715148687 2286864916 2940254892 3430297374 5145446061 6860594748 10290892122 20581784244