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768343001712 = 2431113748914947
BaseRepresentation
bin10110010111001001100…
…11111100101001110000
32201110020010220121021120
423023210303330221300
5100042031302023322
61344545533022240
7106340153520246
oct13134463745160
92643203817246
10768343001712
112769416593a0
12104ab0624980
13575ba512c20
142928bc2a796
1514ebdeaaa5c
hexb2e4cfca70

768343001712 has 160 divisors (see below), whose sum is σ = 2332361552640. Its totient is φ = 214878044160.

The previous prime is 768343001687. The next prime is 768343001729. The reversal of 768343001712 is 217100343867.

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, 51397023 + ... + 51411969.

It is an arithmetic number, because the mean of its divisors is an integer number (14577259704).

Almost surely, 2768343001712 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 768343001712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166180776320).

768343001712 is an abundant number, since it is smaller than the sum of its proper divisors (1564018550928).

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

768343001712 is a wasteful number, since it uses less digits than its factorization.

768343001712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22471 (or 22465 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 768343001712 in words is "seven hundred sixty-eight billion, three hundred forty-three million, one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 7489 14947 14978 22467 29894 29956 44841 44934 59788 59912 82379 89682 89868 97357 119576 119824 164417 164758 179364 179736 194311 194714 239152 247137 292071 328834 329516 358728 359472 388622 389428 493251 494274 582933 584142 657668 659032 717456 777244 778856 986502 988548 1070927 1165866 1168284 1315336 1318064 1554488 1557712 1973004 1977096 2137421 2141854 2331732 2336568 2630672 3108976 3212781 3946008 3954192 4274842 4283708 4663464 4673136 6412263 6425562 7892016 8549684 8567416 9326928 12824526 12851124 17099368 17134832 25649052 25702248 34198736 51298104 51404496 102596208 111938083 223876166 335814249 447752332 671628498 895504664 1231318913 1343256996 1455195079 1791009328 2462637826 2686513992 2910390158 3693956739 4365585237 4925275652 5373027984 5820780316 7387913478 8731170474 9850551304 11641560632 14775826956 16007145869 17462340948 19701102608 23283121264 29551653912 32014291738 34924681896 48021437607 59103307824 64028583476 69849363792 96042875214 128057166952 192085750428 256114333904 384171500856 768343001712