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68531933736 = 23347149101399
BaseRepresentation
bin111111110100110100…
…100101001000101000
320112220002220221120000
4333310310211020220
52110323133334421
651252205103000
74644166553040
oct776464451050
9215802827500
1068531933736
1127078543172
1211347257a60
1366022565a6
143461a66720
151bb17c3226
hexff4d25228

68531933736 has 160 divisors (see below), whose sum is σ = 220849200000. Its totient is φ = 19448947584.

The previous prime is 68531933711. The next prime is 68531933759. The reversal of 68531933736 is 63733913586.

68531933736 is a `hidden beast` number, since 6 + 8 + 531 + 9 + 33 + 73 + 6 = 666.

68531933736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 625165 + ... + 726563.

It is an arithmetic number, because the mean of its divisors is an integer number (1380307500).

Almost surely, 268531933736 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 68531933736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110424600000).

68531933736 is an abundant number, since it is smaller than the sum of its proper divisors (152317266264).

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

68531933736 is a wasteful number, since it uses less digits than its factorization.

68531933736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101573 (or 101560 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 68531933736 in words is "sixty-eight billion, five hundred thirty-one million, nine hundred thirty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 149 162 168 189 216 252 298 324 378 447 504 567 596 648 756 894 1043 1134 1192 1341 1512 1788 2086 2268 2682 3129 3576 4023 4172 4536 5364 6258 8046 8344 9387 10728 12069 12516 16092 18774 24138 25032 28161 32184 37548 48276 56322 75096 84483 96552 101399 112644 168966 202798 225288 304197 337932 405596 608394 675864 709793 811192 912591 1216788 1419586 1825182 2129379 2433576 2737773 2839172 3650364 4258758 5475546 5678344 6388137 7300728 8213319 8517516 10951092 12776274 15108451 16426638 17035032 19164411 21902184 25552548 30216902 32853276 38328822 45325353 51105096 57493233 60433804 65706552 76657644 90650706 105759157 114986466 120867608 135976059 153315288 181301412 211518314 229972932 271952118 317277471 362602824 407928177 423036628 459945864 543904236 634554942 815856354 846073256 951832413 1087808472 1223784531 1269109884 1631712708 1903664826 2447569062 2538219768 2855497239 3263425416 3807329652 4895138124 5710994478 7614659304 8566491717 9790276248 11421988956 17132983434 22843977912 34265966868 68531933736