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164121174 = 2337449967
BaseRepresentation
bin10011100100001…
…00101001010110
3102102211012221000
421302010221112
5314003334144
624141404130
74032002250
oct1162045126
9372735830
10164121174
1184707738
1246b69646
1328004529
1417b22cd0
15e61d769
hex9c84a56

164121174 has 64 divisors (see below), whose sum is σ = 418176000. Its totient is φ = 46738944.

The previous prime is 164121163. The next prime is 164121193. The reversal of 164121174 is 471121461.

164121174 is a `hidden beast` number, since 1 + 641 + 2 + 1 + 17 + 4 = 666.

164121174 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169239 + ... + 170205.

It is an arithmetic number, because the mean of its divisors is an integer number (6534000).

Almost surely, 2164121174 is an apocalyptic number.

164121174 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164121174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209088000).

164121174 is an abundant number, since it is smaller than the sum of its proper divisors (254054826).

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

164121174 is a wasteful number, since it uses less digits than its factorization.

164121174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1428 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 164121174 is about 12810.9786511414. The cubic root of 164121174 is about 547.5051453823.

The spelling of 164121174 in words is "one hundred sixty-four million, one hundred twenty-one thousand, one hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 449 898 967 1347 1934 2694 2901 3143 4041 5802 6286 6769 8082 8703 9429 12123 13538 17406 18858 20307 24246 26109 28287 40614 52218 56574 60921 84861 121842 169722 182763 365526 434183 868366 1302549 2605098 3039281 3907647 6078562 7815294 9117843 11722941 18235686 23445882 27353529 54707058 82060587 164121174