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18111641821 = 7133761163541
BaseRepresentation
bin10000110111100010…
…011011100011011101
31201202020020201210221
4100313202123203131
5244043040014241
612153111201341
71210552262320
oct206742334335
951666221727
1018111641821
117754605629
123615676251
1319283bc030
14c3b5ac7b7
157100ac5d1
hex43789b8dd

18111641821 has 64 divisors (see below), whose sum is σ = 23455054336. Its totient is φ = 13604889600.

The previous prime is 18111641809. The next prime is 18111641843. The reversal of 18111641821 is 12814611181.

It is a happy number.

It is a 12-Lehmer number, since φ(18111641821) divides (18111641821-1)12.

It is a cyclic number.

It is not a de Polignac number, because 18111641821 - 211 = 18111639773 is a prime.

It is the 134580-th Hogben number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18111641851) by changing a digit.

It is a nontrivial repunit in base 134579.

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 63 ways as a sum of consecutive naturals, for example, 33477811 + ... + 33478351.

It is an arithmetic number, because the mean of its divisors is an integer number (366485224).

Almost surely, 218111641821 is an apocalyptic number.

It is an amenable number.

18111641821 is a deficient number, since it is larger than the sum of its proper divisors (5343412515).

18111641821 is a wasteful number, since it uses less digits than its factorization.

18111641821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822.

The product of its digits is 3072, while the sum is 34.

The spelling of 18111641821 in words is "eighteen billion, one hundred eleven million, six hundred forty-one thousand, eight hundred twenty-one".

Divisors: 1 7 13 37 61 91 163 259 427 481 541 793 1141 2119 2257 3367 3787 5551 6031 7033 9943 14833 15799 20017 29341 33001 42217 49231 69601 78403 88183 129259 140119 205387 231007 260221 367891 429013 548821 617281 904813 1146379 1221037 1821547 2575237 3003091 3262771 4782583 5379163 8024653 8547259 15873481 22839397 33478081 37654141 42416023 69929119 111114367 199029031 296912161 489503833 1393203217 2587377403 18111641821