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12068663783528 = 23111922359954037
BaseRepresentation
bin1010111110011111010001…
…1010101111000001101000
31120201202022221002201021002
42233213310122233001220
53040213110412033103
641400133445134132
72353634511362222
oct257476432570150
946652287081232
1012068663783528
113933323092740
12142aba30ba348
136970bb05b8b1
142da1aad67412
1515de0108a488
hexaf9f46af068

12068663783528 has 128 divisors (see below), whose sum is σ = 26145745920000. Its totient is φ = 5164994315520.

The previous prime is 12068663783489. The next prime is 12068663783551. The reversal of 12068663783528 is 82538736686021.

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, 223313726 + ... + 223367762.

It is an arithmetic number, because the mean of its divisors is an integer number (204263640000).

Almost surely, 212068663783528 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 12068663783528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13072872960000).

12068663783528 is an abundant number, since it is smaller than the sum of its proper divisors (14077082136472).

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

12068663783528 is a wasteful number, since it uses less digits than its factorization.

12068663783528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54895 (or 54891 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 65.

The spelling of 12068663783528 in words is "twelve trillion, sixty-eight billion, six hundred sixty-three million, seven hundred eighty-three thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 223 418 446 599 836 892 1198 1672 1784 2396 2453 4237 4792 4906 6589 8474 9812 11381 13178 16948 19624 22762 26356 33896 45524 46607 52712 54037 91048 93214 108074 125191 133577 186428 216148 250382 267154 372856 432296 500764 534308 594407 1001528 1026703 1068616 1188814 1469347 2053406 2377628 2537963 2938694 4106812 4755256 5075926 5877388 8213624 10151852 11293733 11754776 12050251 20303704 22587466 24100502 27917593 32368163 45174932 48201004 55835186 64736326 90349864 96402008 111670372 129472652 132552761 223340744 228954769 258945304 265105522 356049793 457909538 530211044 614995097 712099586 915819076 1060422088 1229990194 1424199172 1831638152 2459980388 2518502459 2848398344 4919960776 5037004918 6764946067 7218100349 10074009836 13529892134 14436200698 20148019672 27059784268 28872401396 54119568536 57744802792 79399103839 137143906631 158798207678 274287813262 317596415356 548575626524 635192830712 1097151253048 1508582972941 3017165945882 6034331891764 12068663783528