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828085007254868 = 2211289283304922279
BaseRepresentation
bin1011110001001000111001000…
…0101100111000010101010100
311000121000011010221112010011122
42330102032100230320111110
51332014321043324123433
612053105000044423112
7336265111303442336
oct27422162054702524
94017004127463148
10828085007254868
1121a942974511300
1278a60509547a98
132970a1092a729c
141086b757557456
1565b05d0e13198
hex2f12390b38554

828085007254868 has 144 divisors (see below), whose sum is σ = 1617057847440000. Its totient is φ = 370719664634880.

The previous prime is 828085007254867. The next prime is 828085007254909. The reversal of 828085007254868 is 868452700580828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828085007254867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37168847753 + ... + 37168870031.

It is an arithmetic number, because the mean of its divisors is an integer number (11229568385000).

Almost surely, 2828085007254868 is an apocalyptic number.

It is an amenable number.

828085007254868 is a deficient number, since it is larger than the sum of its proper divisors (788972840185132).

828085007254868 is a wasteful number, since it uses less digits than its factorization.

828085007254868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25726 (or 25713 counting only the distinct ones).

The product of its (nonzero) digits is 550502400, while the sum is 71.

The spelling of 828085007254868 in words is "eight hundred twenty-eight trillion, eighty-five billion, seven million, two hundred fifty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 4 11 22 44 89 121 178 242 283 356 484 566 979 1132 1958 3049 3113 3916 6098 6226 10769 12196 12452 21538 22279 25187 33539 34243 43076 44558 50374 67078 68486 89116 100748 134156 136972 245069 271361 277057 368929 490138 542722 554114 737858 862867 980276 1085444 1108228 1475716 1725734 1982831 2695759 2984971 3047627 3451468 3965662 5391518 5969942 6095254 6304957 7931324 9491537 10783036 11939884 12190508 12609914 18983074 21811141 25219828 32834681 37966148 43622282 65669362 67928671 69354527 76795163 87244564 104406907 131338724 135857342 138709054 153590326 208813814 239922551 271714684 277418108 307180652 417627628 479845102 561141173 747215381 762899797 844746793 959690204 1122282346 1494430762 1525799594 1689493586 2244564692 2988861524 3051599188 3378987172 6045651719 6172552903 8219369191 9292214723 12091303438 12345105806 16438738382 18584429446 19223813893 24182606876 24690211612 32877476764 37168858892 38447627786 66502168909 67898081933 76895255572 133004337818 135796163866 211461952823 266008675636 271592327732 422923905646 731523857999 845847811292 1463047715998 1710919436477 2326081481053 2926095431996 3421838872954 4652162962106 6843677745908 9304325924212 18820113801247 37640227602494 75280455204988 207021251813717 414042503627434 828085007254868