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112028803621956 = 22321321356972
BaseRepresentation
bin11001011110001110111101…
…000010110110010001000100
3112200122211220221111020022100
4121132032331002312101010
5104140434442211400311
61034133153310232100
732411546122002054
oct3136167502662104
9480584827436270
10112028803621956
1132772170072521
1210693b237b5630
134a6836a0a3c00
141d94319dad564
15ce41d6296a56
hex65e3bd0b6444

112028803621956 has 81 divisors (see below), whose sum is σ = 306645203026071. Its totient is φ = 34470147089664.

The previous prime is 112028803621901. The next prime is 112028803621961. The reversal of 112028803621956 is 659126308820211.

The square root of 112028803621956 is 10584366.

It is a perfect power (a square), and thus also a powerful number.

112028803621956 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 2 + 8 + 8 + 0 + 3 + 621 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21188842621956 + 90839961000000 = 4603134^2 + 9531000^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 825512700 + ... + 825648396.

Almost surely, 2112028803621956 is an apocalyptic number.

112028803621956 is the 10584366-th square number.

It is an amenable number.

112028803621956 is an abundant number, since it is smaller than the sum of its proper divisors (194616399404115).

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

112028803621956 is an frugal number, since it uses more digits than its factorization.

112028803621956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271430 (or 135715 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 112028803621956 in words is "one hundred twelve trillion, twenty-eight billion, eight hundred three million, six hundred twenty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 135697 271394 407091 542788 814182 1221273 1628364 1764061 2442546 3528122 4885092 5292183 7056244 10584366 15876549 21168732 22932793 31753098 45865586 63506196 68798379 91731172 137596758 206395137 275193516 412790274 825580548 18413675809 36827351618 55241027427 73654703236 110482054854 165723082281 220964109708 239377785517 331446164562 478755571034 662892329124 718133356551 957511142068 1436266713102 2154400069653 2872533426204 3111911211721 4308800139306 6223822423442 8617600278612 9335733635163 12447644846884 18671467270326 28007200905489 37342934540652 56014401810978 112028803621956