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20993691664 = 24112372892
BaseRepresentation
bin10011100011010100…
…100101000000010000
32000012002100000221201
4103203110211000100
5320443341113124
613351103400544
71342146302101
oct234324450020
960162300851
1020993691664
1189a3434300
12409a8b3154
131c9751667a
1410322703a8
1582d103144
hex4e3525010

20993691664 has 135 divisors (see below), whose sum is σ = 46472299671. Its totient is φ = 9180357120.

The previous prime is 20993691643. The next prime is 20993691683. The reversal of 20993691664 is 46619639902.

The square root of 20993691664 is 144892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 317552400 + 20676139264 = 17820^2 + 143792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 235884132 + ... + 235884220.

Almost surely, 220993691664 is an apocalyptic number.

20993691664 is the 144892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20993691664

20993691664 is an abundant number, since it is smaller than the sum of its proper divisors (25478608007).

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

20993691664 is an equidigital number, since it uses as much as digits as its factorization.

20993691664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 55.

The spelling of 20993691664 in words is "twenty billion, nine hundred ninety-three million, six hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 89 121 148 176 178 242 296 356 407 484 592 712 814 968 979 1369 1424 1628 1936 1958 2738 3256 3293 3916 4477 5476 6512 6586 7832 7921 8954 10769 10952 13172 15059 15664 15842 17908 21538 21904 26344 30118 31684 35816 36223 43076 52688 60236 63368 71632 72446 86152 87131 120472 121841 126736 144892 165649 172304 174262 240944 243682 289784 293077 331298 348524 398453 487364 579568 586154 662596 697048 796906 958441 974728 1172308 1325192 1340251 1394096 1593812 1916882 1949456 2344616 2650384 2680502 3187624 3223847 3833764 4689232 5361004 6375248 6447694 7667528 10722008 10843849 12895388 14742761 15335056 21444016 21687698 25790776 29485522 35462317 43375396 51581552 58971044 70924634 86750792 117942088 119282339 141849268 173501584 235884176 238564678 283698536 477129356 567397072 954258712 1312105729 1908517424 2624211458 5248422916 10496845832 20993691664