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164708540649 = 321352812
BaseRepresentation
bin1001100101100101100…
…1001110000011101001
3120202010211011210111100
42121121121032003221
510144310341300044
6203355511352013
714620426331652
oct2313131160351
9522124153440
10164708540649
116394174a474
1227b08682609
13126bb8cac53
147d86dc6529
154440020869
hex265964e0e9

164708540649 has 9 divisors (see below), whose sum is σ = 237914095159. Its totient is φ = 109804882080.

The previous prime is 164708540629. The next prime is 164708540653. The reversal of 164708540649 is 946045807461.

The square root of 164708540649 is 405843.

It is a perfect power (a square), and thus also a powerful number.

164708540649 is a `hidden beast` number, since 16 + 47 + 0 + 8 + 540 + 6 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135014358249 + 29694182400 = 367443^2 + 172320^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 164708540649 - 227 = 164574322921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164708540595 and 164708540604.

It is not an unprimeable number, because it can be changed into a prime (164708540629) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1149889 + ... + 1285169.

Almost surely, 2164708540649 is an apocalyptic number.

164708540649 is the 405843-rd square number.

164708540649 is the 202922-nd centered octagonal number.

It is an amenable number.

164708540649 is a deficient number, since it is larger than the sum of its proper divisors (73205554510).

164708540649 is an frugal number, since it uses more digits than its factorization.

164708540649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270568 (or 135284 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 164708540649 in words is "one hundred sixty-four billion, seven hundred eight million, five hundred forty thousand, six hundred forty-nine".

Divisors: 1 3 9 135281 405843 1217529 18300948961 54902846883 164708540649