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20240019984 = 243412713533
BaseRepresentation
bin10010110110011001…
…100011001000010000
31221020120011112202210
4102312121203020100
5312422421114414
613144221512120
71314365221422
oct226631431020
957216145683
1020240019984
118646a66648
123b0a412640
131ba73348b2
14da0124812
157d6d7ce59
hex4b6663210

20240019984 has 120 divisors (see below), whose sum is σ = 54363324096. Its totient is φ = 6487577600.

The previous prime is 20240019929. The next prime is 20240019991. The reversal of 20240019984 is 48991004202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5727082 + ... + 5730614.

Almost surely, 220240019984 is an apocalyptic number.

20240019984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20240019984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27181662048).

20240019984 is an abundant number, since it is smaller than the sum of its proper divisors (34123304112).

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

20240019984 is a wasteful number, since it uses less digits than its factorization.

20240019984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 20240019984 in words is "twenty billion, two hundred forty million, nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 71 82 123 142 164 213 246 284 328 426 492 568 656 852 984 1136 1681 1704 1968 2911 3362 3408 3533 5043 5822 6724 7066 8733 10086 10599 11644 13448 14132 17466 20172 21198 23288 26896 28264 34932 40344 42396 46576 56528 69864 80688 84792 119351 139728 144853 169584 238702 250843 289706 358053 434559 477404 501686 579412 716106 752529 869118 954808 1003372 1158824 1432212 1505058 1738236 1909616 2006744 2317648 2864424 3010116 3476472 4013488 5728848 5938973 6020232 6952944 10284563 11877946 12040464 17816919 20569126 23755892 30853689 35633838 41138252 47511784 61707378 71267676 82276504 95023568 123414756 142535352 164553008 246829512 285070704 421667083 493659024 843334166 1265001249 1686668332 2530002498 3373336664 5060004996 6746673328 10120009992 20240019984