Search a number
-
+
8160281064 = 23331310392797
BaseRepresentation
bin1111001100110010…
…00000000111101000
3210001201000020012000
413212121000013220
5113203012443224
63425423051000
7406135146615
oct74631000750
923051006160
108160281064
1135082a1a41
1216b8a40a60
13a008017a0
14575aab50c
1532b60b0c9
hex1e66401e8

8160281064 has 128 divisors (see below), whose sum is σ = 24443328000. Its totient is φ = 2507542272.

The previous prime is 8160281023. The next prime is 8160281071. The reversal of 8160281064 is 4601820618.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2916114 + ... + 2918910.

It is an arithmetic number, because the mean of its divisors is an integer number (190963500).

Almost surely, 28160281064 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 8160281064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221664000).

8160281064 is an abundant number, since it is smaller than the sum of its proper divisors (16283046936).

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

8160281064 is a wasteful number, since it uses less digits than its factorization.

8160281064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8160281064 is about 90334.2740270823. The cubic root of 8160281064 is about 2013.2685336755.

The spelling of 8160281064 in words is "eight billion, one hundred sixty million, two hundred eighty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1039 1404 2078 2797 2808 3117 4156 5594 6234 8312 8391 9351 11188 12468 13507 16782 18702 22376 24936 25173 27014 28053 33564 36361 37404 40521 50346 54028 56106 67128 72722 74808 75519 81042 100692 108056 109083 112212 121563 145444 151038 162084 201384 218166 224424 243126 290888 302076 324168 327249 364689 436332 486252 604152 654498 729378 872664 972504 981747 1308996 1458756 1963494 2617992 2906083 2917512 3926988 5812166 7853976 8718249 11624332 17436498 23248664 26154747 34872996 37779079 52309494 69745992 75558158 78464241 104618988 113337237 151116316 156928482 209237976 226674474 302232632 313856964 340011711 453348948 627713928 680023422 906697896 1020035133 1360046844 2040070266 2720093688 4080140532 8160281064