Search a number
-
+
6800889172 = 22711592711381
BaseRepresentation
bin1100101010101110…
…10101010101010100
3122112222001222002011
412111113111111110
5102412011423142
63042502354004
7330350414140
oct62527252524
918488058064
106800889172
11297aa19770
12139972b904
13844ca059c
1448732a220
1529c0d8417
hex1955d5554

6800889172 has 96 divisors (see below), whose sum is σ = 15156449280. Its totient is φ = 2593296000.

The previous prime is 6800889167. The next prime is 6800889187. The reversal of 6800889172 is 2719880086.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4923922 + ... + 4925302.

It is an arithmetic number, because the mean of its divisors is an integer number (157879680).

Almost surely, 26800889172 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 6800889172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578224640).

6800889172 is an abundant number, since it is smaller than the sum of its proper divisors (8355560108).

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

6800889172 is a wasteful number, since it uses less digits than its factorization.

6800889172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

The square root of 6800889172 is about 82467.5037332888. The cubic root of 6800889172 is about 1894.6190476741.

The spelling of 6800889172 in words is "six billion, eight hundred million, eight hundred eighty-nine thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 154 236 271 308 413 542 649 826 1084 1298 1381 1652 1897 2596 2762 2981 3794 4543 5524 5962 7588 9086 9667 11924 15191 15989 18172 19334 20867 30382 31978 38668 41734 60764 63956 81479 83468 106337 111923 162958 175879 212674 223846 325916 351758 374251 425348 447692 570353 703516 748502 896269 1140706 1231153 1497004 1792538 2281412 2462306 2619757 3585076 4116761 4924612 5239514 6273883 8233522 10479028 12547766 16467044 22080809 25095532 28817327 44161618 57634654 88323236 115269308 154565663 242888899 309131326 485777798 618262652 971555596 1700222293 3400444586 6800889172