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806072703804 = 2232293170935129
BaseRepresentation
bin10111011101011011010…
…11010101101100111100
32212001121121000001112100
423232231223111230330
5101201314103010204
61414145451305100
7112144142634564
oct13565553255474
92761547001470
10806072703804
11290943032a75
1211028014b190
135b02111c834
142b02aa9bda4
1515e7b4dba39
hexbbadad5b3c

806072703804 has 144 divisors (see below), whose sum is σ = 2178959328000. Its totient is φ = 250695889920.

The previous prime is 806072703769. The next prime is 806072703823. The reversal of 806072703804 is 408307270608.

It is a happy number.

806072703804 is a `hidden beast` number, since 8 + 0 + 607 + 2 + 7 + 0 + 38 + 0 + 4 = 666.

It is a super-2 number, since 2×8060727038042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 806072703804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22928512 + ... + 22963640.

It is an arithmetic number, because the mean of its divisors is an integer number (15131662000).

Almost surely, 2806072703804 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 806072703804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089479664000).

806072703804 is an abundant number, since it is smaller than the sum of its proper divisors (1372886624196).

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

806072703804 is a wasteful number, since it uses less digits than its factorization.

806072703804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35908 (or 35903 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 806072703804 in words is "eight hundred six billion, seventy-two million, seven hundred three thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 709 899 1044 1116 1418 1798 2127 2697 2836 3596 4254 5394 6381 8091 8508 10788 12762 16182 20561 21979 25524 32364 35129 41122 43958 61683 65937 70258 82244 87916 105387 123366 131874 140516 185049 197811 210774 246732 263748 316161 370098 395622 421548 632322 637391 740196 791244 1018741 1088999 1264644 1274782 1912173 2037482 2177998 2549564 3056223 3266997 3824346 4074964 4355996 5736519 6112446 6533994 7648692 9168669 9800991 11473038 12224892 13067988 18337338 19601982 22946076 24906461 31580971 36674676 39203964 49812922 63161942 74719383 94742913 99625844 126323884 149438766 189485826 224158149 284228739 298877532 378971652 448316298 568457478 722287369 772100291 896632596 1136914956 1444574738 1544200582 2166862107 2316300873 2889149476 3088401164 4333724214 4632601746 6500586321 6948902619 8667448428 9265203492 13001172642 13897805238 22390908439 26002345284 27795610476 44781816878 67172725317 89563633756 134345450634 201518175951 268690901268 403036351902 806072703804