Search a number
-
+
8206155442656 = 2532235920997491
BaseRepresentation
bin111011101101010010011…
…1110101110100111100000
31002001111112002012222021100
41313122210332232213200
52033422201243131111
625241504502354400
71504606116240213
oct167324476564740
932044462188240
108206155442656
1126842358a4626
12b064a8a2ba00
13476ab62653a2
1420527407377a
15e36da9c9756
hex776a4fae9e0

8206155442656 has 144 divisors (see below), whose sum is σ = 24763602165120. Its totient is φ = 2572108535040.

The previous prime is 8206155442649. The next prime is 8206155442687. The reversal of 8206155442656 is 6562445516028.

8206155442656 is a `hidden beast` number, since 8 + 2 + 0 + 61 + 554 + 4 + 26 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10107930 + ... + 10889561.

It is an arithmetic number, because the mean of its divisors is an integer number (171969459480).

Almost surely, 28206155442656 is an apocalyptic number.

It is an amenable number.

8206155442656 is an abundant number, since it is smaller than the sum of its proper divisors (16557446722464).

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

8206155442656 is a wasteful number, since it uses less digits than its factorization.

8206155442656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20997589 (or 20997578 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 8206155442656 in words is "eight trillion, two hundred six billion, one hundred fifty-five million, four hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 59 69 72 92 96 118 138 144 177 184 207 236 276 288 354 368 414 472 531 552 708 736 828 944 1062 1104 1357 1416 1656 1888 2124 2208 2714 2832 3312 4071 4248 5428 5664 6624 8142 8496 10856 12213 16284 16992 21712 24426 32568 43424 48852 65136 97704 130272 195408 390816 20997491 41994982 62992473 83989964 125984946 167979928 188977419 251969892 335959856 377954838 482942293 503939784 671919712 755909676 965884586 1007879568 1238851969 1448826879 1511819352 1931769172 2015759136 2477703938 2897653758 3023638704 3716555907 3863538344 4346480637 4955407876 5795307516 6047277408 7433111814 7727076688 8692961274 9910815752 11149667721 11590615032 14866223628 15454153376 17385922548 19821631504 22299335442 23181230064 28493595287 29732447256 34771845096 39643263008 44598670884 46362460128 56987190574 59464894512 69543690192 85480785861 89197341768 113974381148 118929789024 139087380384 170961571722 178394683536 227948762296 256442357583 341923143444 356789367072 455897524592 512884715166 683846286888 911795049184 1025769430332 1367692573776 2051538860664 2735385147552 4103077721328 8206155442656