Search a number
-
+
18200008296 = 23321792276221
BaseRepresentation
bin10000111100110011…
…100001011001101000
31201222101112012211100
4100330303201121220
5244233200231141
612205545201400
71213004342451
oct207463413150
951871465740
1018200008296
11779a480678
12363b190260
1319407bb5a2
14c49212128
15717c150b6
hex43cce1668

18200008296 has 96 divisors (see below), whose sum is σ = 49793421600. Its totient is φ = 6005235840.

The previous prime is 18200008289. The next prime is 18200008331. The reversal of 18200008296 is 69280000281.

It is a super-3 number, since 3×182000082963 (a number of 32 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18200008296.

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, 2922466 + ... + 2928686.

It is an arithmetic number, because the mean of its divisors is an integer number (518681475).

Almost surely, 218200008296 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 18200008296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24896710800).

18200008296 is an abundant number, since it is smaller than the sum of its proper divisors (31593413304).

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

18200008296 is a wasteful number, since it uses less digits than its factorization.

18200008296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 18200008296 in words is "eighteen billion, two hundred million, eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179 227 358 454 537 681 716 908 1074 1362 1432 1611 1816 2043 2148 2724 3222 4086 4296 5448 6221 6444 8172 12442 12888 16344 18663 24884 37326 40633 49768 55989 74652 81266 111978 121899 149304 162532 223956 243798 325064 365697 447912 487596 731394 975192 1113559 1412167 1462788 2227118 2824334 2925576 3340677 4236501 4454236 5648668 6681354 8473002 8908472 10022031 11297336 12709503 13362708 16946004 20044062 25419006 26725416 33892008 40088124 50838012 80176248 101676024 252777893 505555786 758333679 1011111572 1516667358 2022223144 2275001037 3033334716 4550002074 6066669432 9100004148 18200008296