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18213116409 = 341006122349
BaseRepresentation
bin10000111101100101…
…100001100111111001
31202000022012011210000
4100331211201213321
5244300024211114
612211134143213
71213223635515
oct207545414771
952008164700
1018213116409
1177a6913a24
123643651b09
13194342aa77
14c4ac65145
15718e53e09
hex43d9619f9

18213116409 has 20 divisors (see below), whose sum is σ = 27211169700. Its totient is φ = 12140327520.

The previous prime is 18213116401. The next prime is 18213116429. The reversal of 18213116409 is 90461131281.

18213116409 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 3 + 1 + 1 + 640 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6387206400 + 11825910009 = 79920^2 + 108747^2 .

It is not a de Polignac number, because 18213116409 - 23 = 18213116401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18213116401) 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 19 ways as a sum of consecutive naturals, for example, 803767 + ... + 826115.

It is an arithmetic number, because the mean of its divisors is an integer number (1360558485).

Almost surely, 218213116409 is an apocalyptic number.

It is an amenable number.

18213116409 is a deficient number, since it is larger than the sum of its proper divisors (8998053291).

18213116409 is a wasteful number, since it uses less digits than its factorization.

18213116409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32422 (or 32413 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 18213116409 in words is "eighteen billion, two hundred thirteen million, one hundred sixteen thousand, four hundred nine".

Divisors: 1 3 9 27 81 10061 22349 30183 67047 90549 201141 271647 603423 814941 1810269 224853289 674559867 2023679601 6071038803 18213116409