Search a number
-
+
164043553132332 = 223273956501109133
BaseRepresentation
bin100101010011001001011101…
…101101100100111100101100
3210111211102002021022002221100
4211103021131231210330230
5133000142144100213312
61340520322402003100
746360520112616236
oct4523113555447454
9714742067262840
10164043553132332
11482a6531155895
12164948a6046490
13706c318a22a83
142c71a70cc5256
1513e7238c195dc
hex95325db64f2c

164043553132332 has 72 divisors (see below), whose sum is σ = 415237919307120. Its totient is φ = 54605724048000.

The previous prime is 164043553132321. The next prime is 164043553132363. The reversal of 164043553132332 is 233231355340461.

164043553132332 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 43 + 553 + 1 + 3 + 23 + 32 = 666.

164043553132332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1503098038 + ... + 1503207170.

It is an arithmetic number, because the mean of its divisors is an integer number (5767193323710).

Almost surely, 2164043553132332 is an apocalyptic number.

164043553132332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164043553132332 is an abundant number, since it is smaller than the sum of its proper divisors (251194366174788).

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

164043553132332 is a wasteful number, since it uses less digits than its factorization.

164043553132332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166383 (or 166378 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 164043553132332 in words is "one hundred sixty-four trillion, forty-three billion, five hundred fifty-three million, one hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 739 1478 2217 2956 4434 6651 8868 13302 26604 56501 109133 113002 169503 218266 226004 327399 339006 436532 508509 654798 678012 982197 1017018 1309596 1964394 2034036 3928788 41754239 80649287 83508478 125262717 161298574 167016956 241947861 250525434 322597148 375788151 483895722 501050868 725843583 751576302 967791444 1451687166 1503152604 2903374332 6166123633 12332247266 18498370899 24664494532 36996741798 55495112697 73993483596 110990225394 221980450788 4556765364787 9113530729574 13670296094361 18227061459148 27340592188722 41010888283083 54681184377444 82021776566166 164043553132332