Search a number
-
+
54224382801168 = 24321919818853363
BaseRepresentation
bin11000101010001000110010…
…00100110011010100010000
321002222210121110200021202100
430111010121010303110100
524101403013444114133
6311154200525320400
714264403516652146
oct1425043104632420
9232883543607670
1054224382801168
11163064825122a8
1260b9070106100
132434450236078
14d5668d02d596
15640779997e13
hex315119133510

54224382801168 has 60 divisors (see below), whose sum is σ = 159739958113840. Its totient is φ = 17123489304768.

The previous prime is 54224382801151. The next prime is 54224382801191. The reversal of 54224382801168 is 86110828342245.

54224382801168 is a `hidden beast` number, since 5 + 4 + 2 + 24 + 382 + 80 + 1 + 168 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9909423946 + ... + 9909429417.

Almost surely, 254224382801168 is an apocalyptic number.

It is an amenable number.

54224382801168 is an abundant number, since it is smaller than the sum of its proper divisors (105515575312672).

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

54224382801168 is a wasteful number, since it uses less digits than its factorization.

54224382801168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19818853396 (or 19818853387 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 54224382801168 in words is "fifty-four trillion, two hundred twenty-four billion, three hundred eighty-two million, eight hundred one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 19818853363 39637706726 59456560089 79275413452 118913120178 158550826904 178369680267 237826240356 317101653808 356739360534 376558213897 475652480712 713478721068 753116427794 951304961424 1129674641691 1426957442136 1506232855588 2259349283382 2853914884272 3012465711176 3389023925073 4518698566764 6024931422352 6778047850146 9037397133528 13556095700292 18074794267056 27112191400584 54224382801168