Search a number
-
+
164404130453208 = 23322283390700739
BaseRepresentation
bin100101011000011001010001…
…110010111001011011011000
3210120002212210112010212210100
4211120121101302321123120
5133022044124344000313
61341354114225215400
746425543420360552
oct4530312162713330
9716085715125710
10164404130453208
11484254446a7938
1216532756791560
137097320a96739
142c852b943c4d2
1514017de669173
hex958651cb96d8

164404130453208 has 24 divisors (see below), whose sum is σ = 445261186644300. Its totient is φ = 54801376817712.

The previous prime is 164404130453197. The next prime is 164404130453257. The reversal of 164404130453208 is 802354031404461.

164404130453208 is a `hidden beast` number, since 1 + 6 + 4 + 40 + 4 + 130 + 453 + 20 + 8 = 666.

164404130453208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×1644041304532083 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1141695350298 + ... + 1141695350441.

Almost surely, 2164404130453208 is an apocalyptic number.

164404130453208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164404130453208 is an abundant number, since it is smaller than the sum of its proper divisors (280857056191092).

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

164404130453208 is a wasteful number, since it uses less digits than its factorization.

164404130453208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283390700751 (or 2283390700744 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 164404130453208 its reverse (802354031404461), we get a palindrome (966758161857669).

The spelling of 164404130453208 in words is "one hundred sixty-four trillion, four hundred four billion, one hundred thirty million, four hundred fifty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2283390700739 4566781401478 6850172102217 9133562802956 13700344204434 18267125605912 20550516306651 27400688408868 41101032613302 54801376817736 82202065226604 164404130453208