Search a number
-
+
20116111757706 = 23213733712419871
BaseRepresentation
bin1001001001011101001011…
…01100100001000110001010
32122020002012102012221110100
410210232211230201012022
510114040244102221311
6110441114132030230
74144225000462626
oct444564554410612
978202172187410
1020116111757706
116456216730178
12230a779162376
13b2bc30a78b03
144d78a7022186
1524d3ed7dea56
hex124ba5b2118a

20116111757706 has 48 divisors (see below), whose sum is σ = 43916088722688. Its totient is φ = 6654448910400.

The previous prime is 20116111757701. The next prime is 20116111757711. The reversal of 20116111757706 is 60775711161102.

20116111757706 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 61 + 1 + 17 + 577 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (20116111757701) and next prime (20116111757711).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20116111757701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7102951 + ... + 9522821.

It is an arithmetic number, because the mean of its divisors is an integer number (914918515056).

Almost surely, 220116111757706 is an apocalyptic number.

20116111757706 is an abundant number, since it is smaller than the sum of its proper divisors (23799976964982).

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

20116111757706 is a wasteful number, since it uses less digits than its factorization.

20116111757706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423387 (or 2423384 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 45.

The spelling of 20116111757706 in words is "twenty trillion, one hundred sixteen billion, one hundred eleven million, seven hundred fifty-seven thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 2466 3371 6742 10113 20226 30339 60678 461827 923654 1385481 2419871 2770962 4156443 4839742 7259613 8312886 14519226 21778839 43557678 331522327 663044654 994566981 1989133962 2983700943 5967401886 8157385141 16314770282 24472155423 48944310846 73416466269 146832932538 1117561764317 2235123528634 3352685292951 6705370585902 10058055878853 20116111757706