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96287385768 = 23372693835563
BaseRepresentation
bin101100110101100101…
…1001110100010101000
3100012112102200222221220
41121223023032202220
53034144032321033
6112122300502040
76646043163210
oct1315313164250
9305472628856
1096287385768
11379207a0082
12167b254a920
1391065c03a2
144935d59240
152788330bb3
hex166b2ce8a8

96287385768 has 128 divisors (see below), whose sum is σ = 276900249600. Its totient is φ = 27331934976.

The previous prime is 96287385763. The next prime is 96287385809. The reversal of 96287385768 is 86758378269.

It is not an unprimeable number, because it can be changed into a prime (96287385763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17305755 + ... + 17311317.

It is an arithmetic number, because the mean of its divisors is an integer number (2163283200).

Almost surely, 296287385768 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 96287385768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138450124800).

96287385768 is an abundant number, since it is smaller than the sum of its proper divisors (180612863832).

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

96287385768 is a wasteful number, since it uses less digits than its factorization.

96287385768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6231 (or 6227 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 69.

The spelling of 96287385768 in words is "ninety-six billion, two hundred eighty-seven million, three hundred eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 269 383 538 766 807 1076 1149 1532 1614 1883 2152 2298 2681 3064 3228 3766 4596 5362 5563 5649 6456 7532 8043 9192 10724 11126 11298 15064 16086 16689 21448 22252 22596 32172 33378 38941 44504 45192 64344 66756 77882 103027 116823 133512 155764 206054 233646 309081 311528 412108 467292 618162 721189 824216 934584 1236324 1442378 1496447 2130629 2163567 2472648 2884756 2992894 4261258 4327134 4489341 5769512 5985788 6391887 8522516 8654268 8978682 10475129 11971576 12783774 14914403 17045032 17308536 17957364 20950258 25567548 29828806 31425387 35914728 41900516 44743209 51135096 59657612 62850774 83801032 89486418 119315224 125701548 178972836 251403096 357945672 573139201 1146278402 1719417603 2292556804 3438835206 4011974407 4585113608 6877670412 8023948814 12035923221 13755340824 16047897628 24071846442 32095795256 48143692884 96287385768