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164190012 = 223717313709
BaseRepresentation
bin10011100100101…
…01011100111100
3102102221201100120
421302111130330
5314013040022
624143054540
74032410040
oct1162253474
9372851316
10164190012
1184754428
1246ba1450
132802996c
1417b40020
15e633d5c
hex9c9573c

164190012 has 96 divisors (see below), whose sum is σ = 478679040. Its totient is φ = 42716160.

The previous prime is 164190007. The next prime is 164190041. The reversal of 164190012 is 210091461.

164190012 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42414 + ... + 46122.

It is an arithmetic number, because the mean of its divisors is an integer number (4986240).

Almost surely, 2164190012 is an apocalyptic number.

164190012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164190012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239339520).

164190012 is an abundant number, since it is smaller than the sum of its proper divisors (314489028).

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

164190012 is a wasteful number, since it uses less digits than its factorization.

164190012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 164190012 is about 12813.6650494696. The cubic root of 164190012 is about 547.5816821064.

The spelling of 164190012 in words is "one hundred sixty-four million, one hundred ninety thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 62 68 84 93 102 119 124 186 204 217 238 357 372 434 476 527 651 714 868 1054 1302 1428 1581 2108 2604 3162 3689 3709 6324 7378 7418 11067 11127 14756 14836 22134 22254 25963 44268 44508 51926 63053 77889 103852 114979 126106 155778 189159 229958 252212 311556 344937 378318 441371 459916 689874 756636 804853 882742 1324113 1379748 1609706 1765484 1954643 2414559 2648226 3219412 3909286 4829118 5296452 5863929 7818572 9658236 11727858 13682501 23455716 27365002 41047503 54730004 82095006 164190012