Search a number
-
+
38655478368 = 2534131147183
BaseRepresentation
bin100100000000000010…
…111100101001100000
310200202222002202120000
4210000002330221200
51113131300301433
625431425020000
72535630100443
oct440002745140
9120688082500
1038655478368
1115437012041
1275a9784600
133850659930
141c29bbb65a
151013950113
hex9000bca60

38655478368 has 120 divisors (see below), whose sum is σ = 122429770848. Its totient is φ = 11893982976.

The previous prime is 38655478357. The next prime is 38655478451. The reversal of 38655478368 is 86387455683.

It is a happy number.

38655478368 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 547 + 83 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 539896 + ... + 607287.

Almost surely, 238655478368 is an apocalyptic number.

It is an amenable number.

38655478368 is an abundant number, since it is smaller than the sum of its proper divisors (83774292480).

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

38655478368 is a wasteful number, since it uses less digits than its factorization.

38655478368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147218 (or 1147201 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 38655478368 in words is "thirty-eight billion, six hundred fifty-five million, four hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 1147183 2294366 3441549 4588732 6883098 9177464 10324647 13766196 14913379 18354928 20649294 27532392 29826758 30973941 36709856 41298588 44740137 55064784 59653516 61947882 82597176 89480274 92921823 110129568 119307032 123895764 134220411 165194352 178960548 185843646 238614064 247791528 268440822 330388704 357921096 371687292 402661233 477228128 495583056 536881644 715842192 743374584 805322466 991166112 1073763288 1207983699 1431684384 1486749168 1610644932 2147526576 2415967398 2973498336 3221289864 4295053152 4831934796 6442579728 9663869592 12885159456 19327739184 38655478368