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868143216 = 2431761107163
BaseRepresentation
bin110011101111101…
…101000001110000
32020111120020121110
4303233231001300
53234221040331
6222051153320
730341044533
oct6357550160
92214506543
10868143216
11406053936
122028a5840
1310ab21515
1483426a1a
1551337946
hex33bed070

868143216 has 160 divisors (see below), whose sum is σ = 2451057408. Its totient is φ = 263761920.

The previous prime is 868143209. The next prime is 868143223. The reversal of 868143216 is 612341868.

It is an interprime number because it is at equal distance from previous prime (868143209) and next prime (868143223).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 5325951 + ... + 5326113.

Almost surely, 2868143216 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 868143216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225528704).

868143216 is an abundant number, since it is smaller than the sum of its proper divisors (1582914192).

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

868143216 is a wasteful number, since it uses less digits than its factorization.

868143216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 868143216 is about 29464.2701589569. The cubic root of 868143216 is about 953.9606451512.

The spelling of 868143216 in words is "eight hundred sixty-eight million, one hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 61 68 102 107 122 136 163 183 204 214 244 272 321 326 366 408 428 488 489 642 652 732 816 856 976 978 1037 1284 1304 1464 1712 1819 1956 2074 2568 2608 2771 2928 3111 3638 3912 4148 5136 5457 5542 6222 6527 7276 7824 8296 8313 9943 10914 11084 12444 13054 14552 16592 16626 17441 19581 19886 21828 22168 24888 26108 29104 29829 33252 34882 39162 39772 43656 44336 49776 52216 52323 59658 66504 69764 78324 79544 87312 104432 104646 110959 119316 133008 139528 156648 159088 169031 209292 221918 238632 279056 296497 313296 332877 338062 418584 443836 477264 507093 592994 665754 676124 837168 887672 889491 1014186 1063901 1185988 1331508 1352248 1775344 1778982 2028372 2127802 2371976 2663016 2704496 3191703 3557964 4056744 4255604 4743952 5326032 6383406 7115928 8113488 8511208 12766812 14231856 17022416 18086317 25533624 36172634 51067248 54258951 72345268 108517902 144690536 217035804 289381072 434071608 868143216