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21731657328 = 24321773121607
BaseRepresentation
bin10100001111010011…
…101100011001110000
32002002111221120112100
4110033103230121300
5324001301013303
613552224500400
71366350016353
oct241723543160
962074846470
1021731657328
119241a54887
124265a7a700
132084389644
1410a228c29a
15872cc48a3
hex50f4ec670

21731657328 has 120 divisors (see below), whose sum is σ = 65278687968. Its totient is φ = 6724325376.

The previous prime is 21731657317. The next prime is 21731657369. The reversal of 21731657328 is 82375613712.

21731657328 is a `hidden beast` number, since 2 + 1 + 7 + 316 + 5 + 7 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117901 + ... + 239507.

Almost surely, 221731657328 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 21731657328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32639343984).

21731657328 is an abundant number, since it is smaller than the sum of its proper divisors (43547030640).

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

21731657328 is a wasteful number, since it uses less digits than its factorization.

21731657328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121711 (or 121702 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 21731657328 in words is "twenty-one billion, seven hundred thirty-one million, six hundred fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 73 102 136 144 146 153 204 219 272 292 306 408 438 584 612 657 816 876 1168 1224 1241 1314 1752 2448 2482 2628 3504 3723 4964 5256 7446 9928 10512 11169 14892 19856 22338 29784 44676 59568 89352 121607 178704 243214 364821 486428 729642 972856 1094463 1459284 1945712 2067319 2188926 2918568 4134638 4377852 5837136 6201957 8269276 8755704 8877311 12403914 16538552 17511408 17754622 18605871 24807828 26631933 33077104 35509244 37211742 49615656 53263866 71018488 74423484 79895799 99231312 106527732 142036976 148846968 150914287 159791598 213055464 297693936 301828574 319583196 426110928 452742861 603657148 639166392 905485722 1207314296 1278332784 1358228583 1810971444 2414628592 2716457166 3621942888 5432914332 7243885776 10865828664 21731657328