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164181108 = 223713251599
BaseRepresentation
bin10011100100100…
…11010001110100
3102102221021010210
421302103101310
5314012243413
624142545420
74032342060
oct1162232164
9372837123
10164181108
1184748773
1246b98270
13280258b0
1417b3aaa0
15e6313c3
hex9c93474

164181108 has 96 divisors (see below), whose sum is σ = 474163200. Its totient is φ = 43056000.

The previous prime is 164181091. The next prime is 164181131. The reversal of 164181108 is 801181461.

164181108 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273793 + ... + 274391.

It is an arithmetic number, because the mean of its divisors is an integer number (4939200).

Almost surely, 2164181108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164181108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237081600).

164181108 is an abundant number, since it is smaller than the sum of its proper divisors (309982092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164181108 is a wasteful number, since it uses less digits than its factorization.

164181108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 164181108 is about 12813.3176031815. The cubic root of 164181108 is about 547.5717835030.

The spelling of 164181108 in words is "one hundred sixty-four million, one hundred eighty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 251 273 364 502 546 599 753 1004 1092 1198 1506 1757 1797 2396 3012 3263 3514 3594 4193 5271 6526 7028 7188 7787 8386 9789 10542 12579 13052 15574 16772 19578 21084 22841 23361 25158 31148 39156 45682 46722 50316 54509 68523 91364 93444 109018 137046 150349 163527 218036 274092 300698 327054 451047 601396 654108 902094 1052443 1804188 1954537 2104886 3157329 3909074 4209772 5863611 6314658 7818148 11727222 12629316 13681759 23454444 27363518 41045277 54727036 82090554 164181108