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164163135 = 351719311093
BaseRepresentation
bin10011100100011…
…10111000111111
3102102220100111010
421302032320333
5314011210020
624142330303
74032235503
oct1162167077
9372810433
10164163135
1184736214
1246b89993
132801a666
1417b34303
15e62ade0
hex9c8ee3f

164163135 has 64 divisors (see below), whose sum is σ = 302469120. Its totient is φ = 75479040.

The previous prime is 164163079. The next prime is 164163149. The reversal of 164163135 is 531361461.

It is not a de Polignac number, because 164163135 - 29 = 164162623 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149649 + ... + 150741.

It is an arithmetic number, because the mean of its divisors is an integer number (4726080).

Almost surely, 2164163135 is an apocalyptic number.

164163135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164163135 is a deficient number, since it is larger than the sum of its proper divisors (138305985).

164163135 is a wasteful number, since it uses less digits than its factorization.

164163135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168.

The product of its digits is 6480, while the sum is 30.

The square root of 164163135 is about 12812.6162433751. The cubic root of 164163135 is about 547.5518017749.

The spelling of 164163135 in words is "one hundred sixty-four million, one hundred sixty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 15 17 19 31 51 57 85 93 95 155 255 285 323 465 527 589 969 1093 1581 1615 1767 2635 2945 3279 4845 5465 7905 8835 10013 16395 18581 20767 30039 33883 50065 55743 62301 92905 101649 103835 150195 169415 278715 311505 353039 508245 576011 643777 1059117 1728033 1765195 1931331 2880055 3218885 5295585 8640165 9656655 10944209 32832627 54721045 164163135