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164243264304177 = 32171073485387609
BaseRepresentation
bin100101010110000011011101…
…011011001111010000110001
3210112112111120111002210200200
4211112003131123033100301
5133011430201130213202
61341152151453305413
746411120125563532
oct4526033533172061
9715474514083620
10164243264304177
11483731a4983133
1216507540a95269
1370850c52561c6
142c7b5b88a0689
1513ec526b39e1c
hex9560dd6cf431

164243264304177 has 12 divisors (see below), whose sum is σ = 251195580700740. Its totient is φ = 103054597210368.

The previous prime is 164243264304167. The next prime is 164243264304221. The reversal of 164243264304177 is 771403462342461.

It is a happy number.

164243264304177 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 4 + 3 + 264 + 304 + 1 + 77 = 666.

164243264304177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 112293780959376 + 51949483344801 = 10596876^2 + 7207599^2 .

It is not a de Polignac number, because 164243264304177 - 232 = 164238969336881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164243264304167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536742693652 + ... + 536742693957.

It is an arithmetic number, because the mean of its divisors is an integer number (20932965058395).

Almost surely, 2164243264304177 is an apocalyptic number.

164243264304177 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

164243264304177 is a deficient number, since it is larger than the sum of its proper divisors (86952316396563).

164243264304177 is a wasteful number, since it uses less digits than its factorization.

164243264304177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073485387632 (or 1073485387629 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 164243264304177 in words is "one hundred sixty-four trillion, two hundred forty-three billion, two hundred sixty-four million, three hundred four thousand, one hundred seventy-seven".

Divisors: 1 3 9 17 51 153 1073485387609 3220456162827 9661368488481 18249251589353 54747754768059 164243264304177