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20116466129116 = 22722234337106121
BaseRepresentation
bin1001001001011101110101…
…10100010101100011011100
32122020010010010000212122101
410210232322310111203130
510114042010312112431
6110441213231254444
74144236532544500
oct444567264254334
978203103025571
1020116466129116
116456388770705
12230a85797a424
13b2bc89302936
144d78dc10a300
1524d41e98d961
hex124bbad158dc

20116466129116 has 72 divisors (see below), whose sum is σ = 41144888324736. Its totient is φ = 8580622095360.

The previous prime is 20116466129029. The next prime is 20116466129159. The reversal of 20116466129116 is 61192166461102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 189508536 + ... + 189614656.

It is an arithmetic number, because the mean of its divisors is an integer number (571456782288).

Almost surely, 220116466129116 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 20116466129116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20572444162368).

20116466129116 is an abundant number, since it is smaller than the sum of its proper divisors (21028422195620).

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

20116466129116 is a wasteful number, since it uses less digits than its factorization.

20116466129116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110699 (or 110690 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 20116466129116 in words is "twenty trillion, one hundred sixteen billion, four hundred sixty-six million, one hundred twenty-nine thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 223 446 892 1561 3122 4337 6244 8674 10927 17348 21854 30359 43708 60718 106121 121436 212242 212513 424484 425026 742847 850052 967151 1485694 1934302 2971388 3868604 5199929 6770057 10399858 13540114 20799716 23664983 27080228 47329966 47390399 94659932 94780798 165654881 189561596 331309762 460246777 662619524 920493554 1159584167 1840987108 2319168334 3221727439 4638336668 6443454878 12886909756 22552092073 45104184146 90208368292 102635031271 205270062542 410540125084 718445218897 1436890437794 2873780875588 5029116532279 10058233064558 20116466129116