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6806190560 = 2551310331769
BaseRepresentation
bin1100101011010111…
…00011100111100000
3122120100001022012212
412111223203213200
5102414341044220
63043212141252
7330443444111
oct62553434740
918510038185
106806190560
112982a0a784
12139b467828
138461085c0
14487d0a208
1529c7d40c5
hex195ae39e0

6806190560 has 96 divisors (see below), whose sum is σ = 17485191360. Its totient is φ = 2488578048.

The previous prime is 6806190541. The next prime is 6806190571. The reversal of 6806190560 is 650916086.

It is a super-2 number, since 2×68061905602 = 92648459878066227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 198356 + ... + 230124.

It is an arithmetic number, because the mean of its divisors is an integer number (182137410).

Almost surely, 26806190560 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 6806190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742595680).

6806190560 is an abundant number, since it is smaller than the sum of its proper divisors (10679000800).

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

6806190560 is a wasteful number, since it uses less digits than its factorization.

6806190560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31900 (or 31892 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 6806190560 is about 82499.6397567892. The cubic root of 6806190560 is about 1895.1112138070. Note that the first 3 decimals are identical.

The spelling of 6806190560 in words is "six billion, eight hundred six million, one hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 103 104 130 160 206 208 260 412 416 515 520 824 1030 1040 1339 1648 2060 2080 2678 3296 4120 5356 6695 8240 10712 13390 16480 21424 26780 31769 42848 53560 63538 107120 127076 158845 214240 254152 317690 412997 508304 635380 825994 1016608 1270760 1651988 2064985 2541520 3272207 3303976 4129970 5083040 6544414 6607952 8259940 13088828 13215904 16361035 16519880 26177656 32722070 33039760 42538691 52355312 65444140 66079520 85077382 104710624 130888280 170154764 212693455 261776560 340309528 425386910 523553120 680619056 850773820 1361238112 1701547640 3403095280 6806190560