Search a number
-
+
21786891744 = 2533720173041
BaseRepresentation
bin10100010010100110…
…011001010111100000
32002020100212202220110
4110102212121113200
5324104421013434
614001520411320
71400620344552
oct242246312740
962210782813
1021786891744
119270150262
124280476b40
132092958427
1410a97494d2
15877a854e9
hex5129995e0

21786891744 has 96 divisors (see below), whose sum is σ = 58784727456. Its totient is φ = 7060193280.

The previous prime is 21786891673. The next prime is 21786891751. The reversal of 21786891744 is 44719868712.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7162864 + ... + 7165904.

It is an arithmetic number, because the mean of its divisors is an integer number (612340911).

Almost surely, 221786891744 is an apocalyptic number.

21786891744 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 21786891744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29392363728).

21786891744 is an abundant number, since it is smaller than the sum of its proper divisors (36997835712).

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

21786891744 is a wasteful number, since it uses less digits than its factorization.

21786891744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5100 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 57.

The spelling of 21786891744 in words is "twenty-one billion, seven hundred eighty-six million, eight hundred ninety-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 2017 3041 3552 4034 6051 6082 8068 9123 12102 12164 16136 18246 24204 24328 32272 36492 48408 48656 64544 72984 74629 96816 97312 112517 145968 149258 193632 223887 225034 291936 298516 337551 447774 450068 597032 675102 895548 900136 1194064 1350204 1791096 1800272 2388128 2700408 3582192 3600544 5400816 6133697 7164384 10801632 12267394 18401091 24534788 36802182 49069576 73604364 98139152 147208728 196278304 226946789 294417456 453893578 588834912 680840367 907787156 1361680734 1815574312 2723361468 3631148624 5446722936 7262297248 10893445872 21786891744