Search a number
-
+
94005890568 = 233211314517963
BaseRepresentation
bin101011110001100110…
…0000000111000001000
322222122102200000220200
41113203030000320020
53020011001444233
6111104040252200
76535360612542
oct1274314007010
9288572600820
1094005890568
113695a968a57
1216276471060
138b31a26c25
14479ad46692
1526a2db7313
hex15e3300e08

94005890568 has 96 divisors (see below), whose sum is σ = 257061673440. Its totient is φ = 31032691200.

The previous prime is 94005890551. The next prime is 94005890579. The reversal of 94005890568 is 86509850049.

It is a happy number.

94005890568 is a `hidden beast` number, since 9 + 4 + 0 + 0 + 589 + 0 + 56 + 8 = 666.

It is a super-2 number, since 2×940058905682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11801355 + ... + 11809317.

It is an arithmetic number, because the mean of its divisors is an integer number (2677725765).

Almost surely, 294005890568 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 94005890568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128530836720).

94005890568 is an abundant number, since it is smaller than the sum of its proper divisors (163055782872).

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

94005890568 is a wasteful number, since it uses less digits than its factorization.

94005890568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9539 (or 9532 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 94005890568 in words is "ninety-four billion, five million, eight hundred ninety thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 1451 2034 2712 2902 4068 4353 5804 7963 8136 8706 11608 13059 15926 17412 23889 26118 31852 34824 47778 52236 63704 71667 95556 104472 143334 163963 191112 286668 327926 491889 573336 655852 899819 983778 1311704 1475667 1799638 1967556 2699457 2951334 3599276 3935112 5398914 5902668 7198552 8098371 10797828 11554313 11805336 16196742 21595656 23108626 32393484 34662939 46217252 64786968 69325878 92434504 103988817 138651756 207977634 277303512 415955268 831910536 1305637369 2611274738 3916912107 5222549476 7833824214 10445098952 11750736321 15667648428 23501472642 31335296856 47002945284 94005890568