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20608326288 = 24331119228251
BaseRepresentation
bin10011001100010110…
…100001101010010000
31222012020012110001000
4103030112201222100
5314201212420123
613244535542000
71326456611634
oct231426415220
958166173030
1020608326288
118815954620
123bb182a900
131c3572a314
14dd6dd8dc4
15809380b43
hex4cc5a1a90

20608326288 has 160 divisors (see below), whose sum is σ = 67927795200. Its totient is φ = 5916240000.

The previous prime is 20608326199. The next prime is 20608326293. The reversal of 20608326288 is 88262380602.

20608326288 is a `hidden beast` number, since 2 + 0 + 608 + 32 + 6 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×206083262882 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23838 + ... + 204413.

It is an arithmetic number, because the mean of its divisors is an integer number (424548720).

Almost surely, 220608326288 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 20608326288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33963897600).

20608326288 is an abundant number, since it is smaller than the sum of its proper divisors (47319468912).

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

20608326288 is a wasteful number, since it uses less digits than its factorization.

20608326288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228298 (or 228286 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 20608326288 in words is "twenty billion, six hundred eight million, three hundred twenty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 342 396 418 432 456 513 528 594 627 684 792 836 912 1026 1188 1254 1368 1584 1672 1881 2052 2376 2508 2736 3344 3762 4104 4752 5016 5643 7524 8208 10032 11286 15048 22572 30096 45144 90288 228251 456502 684753 913004 1369506 1826008 2054259 2510761 2739012 3652016 4108518 4336769 5021522 5478024 6162777 7532283 8217036 8673538 10043044 10956048 12325554 13010307 15064566 16434072 17347076 20086088 22596849 24651108 26020614 30129132 32868144 34694152 39030921 40172176 45193698 47704459 49302216 52041228 60258264 67790547 69388304 78061842 90387396 95408918 98604432 104082456 117092763 120516528 135581094 143113377 156123684 180774792 190817836 208164912 234185526 271162188 286226754 312247368 361549584 381635672 429340131 468371052 542324376 572453508 624494736 763271344 858680262 936742104 1084648752 1144907016 1288020393 1717360524 1873484208 2289814032 2576040786 3434721048 5152081572 6869442096 10304163144 20608326288