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806396816016 = 243211268032
BaseRepresentation
bin10111011110000001111…
…11101110101010010000
32212002110011212122220100
423233000333232222100
5101203000041103031
61414241550212400
7112155156561261
oct13570077565220
92762404778810
10806396816016
11290a99a86300
121103507b4100
135b0733106cc
142b05bb4a968
1515e99baede6
hexbbc0feea90

806396816016 has 135 divisors (see below), whose sum is σ = 2480969769187. Its totient is φ = 244326751680.

The previous prime is 806396816009. The next prime is 806396816021. The reversal of 806396816016 is 610618693608.

The square root of 806396816016 is 897996.

It is a perfect power (a square), and thus also a powerful number.

806396816016 is a `hidden beast` number, since 80 + 6 + 396 + 8 + 160 + 16 = 666.

It is a super-2 number, since 2×8063968160162 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 118532071 + ... + 118538873.

Almost surely, 2806396816016 is an apocalyptic number.

806396816016 is the 897996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806396816016

806396816016 is an abundant number, since it is smaller than the sum of its proper divisors (1674572953171).

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

806396816016 is an equidigital number, since it uses as much as digits as its factorization.

806396816016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13642 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 806396816016 in words is "eight hundred six billion, three hundred ninety-six million, eight hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 6803 8712 13606 17424 20409 27212 40818 54424 61227 74833 81636 108848 122454 149666 163272 224499 244908 299332 326544 448998 489816 598664 673497 823163 897996 979632 1197328 1346994 1646326 1795992 2469489 2693988 3292652 3591984 4938978 5387976 6585304 7408467 9877956 10775952 13170608 14816934 19755912 29633868 39511824 46280809 59267736 92561618 118535472 138842427 185123236 277684854 370246472 416527281 509088899 555369708 740492944 833054562 1018177798 1110739416 1527266697 1666109124 2036355596 2221478832 3054533394 3332218248 4072711192 4581800091 5599977889 6109066788 6664436496 8145422384 9163600182 11199955778 12218133576 16799933667 18327200364 22399911556 24436267152 33599867334 36654400728 44799823112 50399801001 67199734668 73308801456 89599646224 100799602002 134399469336 201599204004 268798938672 403198408008 806396816016