Search a number
-
+
806104550450682 = 233719155971994589
BaseRepresentation
bin1011011101001001011101011…
…1011000011010010111111010
310220201011211202010011222021000
42313102113113120122113322
51321124204104403410212
611534235152420025430
7331536063141350550
oct26722272730322772
93821154663158230
10806104550450682
1121393902469978a
12764b0566b32276
13287a44435c70a2
141030b9501c1bd0
15632d968b861dc
hex2dd25d761a5fa

806104550450682 has 128 divisors (see below), whose sum is σ = 2156381959680000. Its totient is φ = 218053752394176.

The previous prime is 806104550450677. The next prime is 806104550450711. The reversal of 806104550450682 is 286054055401608.

806104550450682 is a `hidden beast` number, since 8 + 0 + 6 + 1 + 0 + 4 + 5 + 50 + 4 + 506 + 82 = 666.

It is a super-2 number, since 2×8061045504506822 (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24800557 + ... + 47194032.

It is an arithmetic number, because the mean of its divisors is an integer number (16846734060000).

Almost surely, 2806104550450682 is an apocalyptic number.

806104550450682 is an abundant number, since it is smaller than the sum of its proper divisors (1350277409229318).

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

806104550450682 is a wasteful number, since it uses less digits than its factorization.

806104550450682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71996185 (or 71996179 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 806104550450682 in words is "eight hundred six trillion, one hundred four billion, five hundred fifty million, four hundred fifty thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 1559 2394 3118 3591 4677 7182 9354 10913 14031 21826 28062 29621 32739 42093 59242 65478 84186 88863 98217 177726 196434 207347 266589 294651 414694 533178 589302 622041 799767 1244082 1599534 1866123 3732246 5598369 11196738 71994589 143989178 215983767 431967534 503962123 647951301 1007924246 1295902602 1367897191 1511886369 1943853903 2735794382 3023772738 3887707806 4103691573 4535659107 8207383146 9071318214 9575280337 12311074719 13606977321 19150560674 24622149438 27213954642 28725841011 36933224157 57451682022 73866448314 86177523033 112239564251 172355046066 224479128502 258532569099 336718692753 517065138198 673437385506 785676949757 1010156078259 1571353899514 2020312156518 2132551720769 2357030849271 3030468234777 4265103441538 4714061698542 6060936469554 6397655162307 7071092547813 12795310324614 14142185095626 14927862045383 19192965486921 21213277643439 29855724090766 38385930973842 42426555286878 44783586136149 57578896460763 89567172272298 115157792921526 134350758408447 268701516816894 403052275225341 806104550450682