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163164768 = 25313289113
BaseRepresentation
bin10011011100110…
…11001001100000
3102101000121222120
421232123021200
5313232233033
624105104240
74020610014
oct1156331140
9371017876
10163164768
1184114118
1246788080
1327a5b100
1417954544
15e4d01b3
hex9b9b260

163164768 has 144 divisors (see below), whose sum is σ = 473150160. Its totient is φ = 49201152.

The previous prime is 163164763. The next prime is 163164769. The reversal of 163164768 is 867461361.

163164768 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 not an unprimeable number, because it can be changed into a prime (163164763) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1443880 + ... + 1443992.

It is an arithmetic number, because the mean of its divisors is an integer number (3285765).

Almost surely, 2163164768 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 163164768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236575080).

163164768 is an abundant number, since it is smaller than the sum of its proper divisors (309985392).

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

163164768 is a wasteful number, since it uses less digits than its factorization.

163164768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 163164768 is about 12773.5965178175. The cubic root of 163164768 is about 546.4395553396.

The spelling of 163164768 in words is "one hundred sixty-three million, one hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 89 96 104 113 156 169 178 208 226 267 312 338 339 356 416 452 507 534 624 676 678 712 904 1014 1068 1157 1248 1352 1356 1424 1469 1808 2028 2136 2314 2704 2712 2848 2938 3471 3616 4056 4272 4407 4628 5408 5424 5876 6942 8112 8544 8814 9256 10057 10848 11752 13884 15041 16224 17628 18512 19097 20114 23504 27768 30082 30171 35256 37024 38194 40228 45123 47008 55536 57291 60164 60342 70512 76388 80456 90246 111072 114582 120328 120684 130741 141024 152776 160912 180492 229164 240656 241368 261482 305552 321824 360984 392223 458328 481312 482736 522964 611104 721968 784446 916656 965472 1045928 1443936 1568892 1699633 1833312 2091856 3137784 3399266 4183712 5098899 6275568 6798532 10197798 12551136 13597064 20395596 27194128 40791192 54388256 81582384 163164768