Search a number
-
+
663467168 = 25713713209
BaseRepresentation
bin100111100010111…
…011010010100000
31201020102121212002
4213202323102200
52324321422133
6145500223132
722304243420
oct4742732240
91636377762
10663467168
11310567781
1216623aaa8
13a75baa30
1464188480
153d3a7ce8
hex278bb4a0

663467168 has 96 divisors (see below), whose sum is σ = 1630782720. Its totient is φ = 258693120.

The previous prime is 663467159. The next prime is 663467173. The reversal of 663467168 is 861764366.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205148 + ... + 208356.

It is an arithmetic number, because the mean of its divisors is an integer number (16987320).

Almost surely, 2663467168 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 663467168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815391360).

663467168 is an abundant number, since it is smaller than the sum of its proper divisors (967315552).

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

663467168 is a wasteful number, since it uses less digits than its factorization.

663467168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3302 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The square root of 663467168 is about 25757.8564325528. The cubic root of 663467168 is about 872.1807133249.

The spelling of 663467168 in words is "six hundred sixty-three million, four hundred sixty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 71 91 104 112 142 182 208 224 284 364 416 497 568 728 923 994 1136 1456 1846 1988 2272 2912 3209 3692 3976 6418 6461 7384 7952 12836 12922 14768 15904 22463 25672 25844 29536 41717 44926 51344 51688 83434 89852 102688 103376 166868 179704 206752 227839 292019 333736 359408 455678 584038 667472 718816 911356 1168076 1334944 1594873 1822712 2336152 2961907 3189746 3645424 4672304 5923814 6379492 7290848 9344608 11847628 12758984 20733349 23695256 25517968 41466698 47390512 51035936 82933396 94781024 165866792 331733584 663467168