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20116519860096 = 27321129411335137
BaseRepresentation
bin1001001001011101111100…
…00001010011011110000000
32122020010020212010200200200
410210232332001103132000
510114042113041010341
6110441222431045200
74144241054341542
oct444567601233600
978203225120620
1020116519860096
11645640602a580
12230a871970800
13b2bc9749630a
144d79052d5692
1524d424553db6
hex124bbe053780

20116519860096 has 384 divisors, whose sum is σ = 66920854946400. Its totient is φ = 5742152908800.

The previous prime is 20116519860043. The next prime is 20116519860119. The reversal of 20116519860096 is 69006891561102.

20116519860096 is a `hidden beast` number, since 2 + 0 + 1 + 16 + 5 + 19 + 8 + 600 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14399440 + ... + 15734576.

Almost surely, 220116519860096 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 20116519860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33460427473200).

20116519860096 is an abundant number, since it is smaller than the sum of its proper divisors (46804335086304).

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

20116519860096 is a wasteful number, since it uses less digits than its factorization.

20116519860096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335238 (or 1335223 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 20116519860096 in words is "twenty trillion, one hundred sixteen billion, five hundred nineteen million, eight hundred sixty thousand, ninety-six".