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6806361100 = 22527112633361
BaseRepresentation
bin1100101011011000…
…01101010000001100
3122120100100222011011
412111230031100030
5102414412023400
63043215535004
7330445054240
oct62554152014
918510328134
106806361100
112983016920
12139b52a464
13846168106
14487d52420
1529c8198ba
hex195b0d40c

6806361100 has 144 divisors (see below), whose sum is σ = 18489816576. Its totient is φ = 2112768000.

The previous prime is 6806361091. The next prime is 6806361101. The reversal of 6806361100 is 11636086.

It is not an unprimeable number, because it can be changed into a prime (6806361101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2023420 + ... + 2026780.

It is an arithmetic number, because the mean of its divisors is an integer number (128401504).

Almost surely, 26806361100 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 6806361100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9244908288).

6806361100 is an abundant number, since it is smaller than the sum of its proper divisors (11683455476).

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

6806361100 is a wasteful number, since it uses less digits than its factorization.

6806361100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 6806361100 is about 82500.6733305856. The cubic root of 6806361100 is about 1895.1270420232.

Adding to 6806361100 its reverse (11636086), we get a palindrome (6817997186).

The spelling of 6806361100 in words is "six billion, eight hundred six million, three hundred sixty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 263 275 308 350 385 526 550 700 770 1052 1100 1315 1540 1841 1925 2630 2893 3361 3682 3850 5260 5786 6575 6722 7364 7700 9205 11572 13150 13444 14465 16805 18410 20251 23527 26300 28930 33610 36820 36971 40502 46025 47054 57860 67220 72325 73942 81004 84025 92050 94108 101255 117635 144650 147884 168050 184100 184855 202510 235270 258797 289300 336100 369710 405020 470540 506275 517594 588175 739420 883943 924275 1012550 1035188 1176350 1293985 1767886 1848550 2025100 2352700 2587970 3535772 3697100 4419715 5175940 6187601 6469925 8839430 9723373 12375202 12939850 17678860 19446746 22098575 24750404 25879700 30938005 38893492 44197150 48616865 61876010 68063611 88394300 97233730 123752020 136127222 154690025 194467460 243084325 272254444 309380050 340318055 486168650 618760100 680636110 972337300 1361272220 1701590275 3403180550 6806361100