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6805048860 = 22325331114217
BaseRepresentation
bin1100101011001110…
…01100111000011100
3122120020220022002200
412111213030320130
5102414043030420
63043131451500
7330430650411
oct62547147034
918506808080
106805048860
1129822aaa25
12139abb6b90
13845ac8a3c
14487ad0108
1529c65ab90
hex1959cce1c

6805048860 has 72 divisors (see below), whose sum is σ = 20704525296. Its totient is φ = 1809181440.

The previous prime is 6805048819. The next prime is 6805048867. The reversal of 6805048860 is 688405086.

6805048860 is a `hidden beast` number, since 6 + 8 + 0 + 504 + 88 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6805048867) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2472 + ... + 116688.

Almost surely, 26805048860 is an apocalyptic number.

6805048860 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6805048860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10352262648).

6805048860 is an abundant number, since it is smaller than the sum of its proper divisors (13899476436).

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

6805048860 is a wasteful number, since it uses less digits than its factorization.

6805048860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114563 (or 114558 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6805048860 is about 82492.7200424377. The cubic root of 6805048860 is about 1895.0052431496.

The spelling of 6805048860 in words is "six billion, eight hundred five million, forty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 331 662 993 1324 1655 1986 2979 3310 3972 4965 5958 6620 9930 11916 14895 19860 29790 59580 114217 228434 342651 456868 571085 685302 1027953 1142170 1370604 1713255 2055906 2284340 3426510 4111812 5139765 6853020 10279530 20559060 37805827 75611654 113417481 151223308 189029135 226834962 340252443 378058270 453669924 567087405 680504886 756116540 1134174810 1361009772 1701262215 2268349620 3402524430 6805048860