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806871338832 = 243134176141443
BaseRepresentation
bin10111011110111010100…
…01111000111101010000
32212010200020202220211110
423233131101320331100
5101204433030320312
61414401021013320
7112203011134566
oct13573521707520
92763606686743
10806871338832
11291212921319
121104636b4240
135b11a715340
142b0a4b8da36
1515ec669443c
hexbbdd478f50

806871338832 has 160 divisors (see below), whose sum is σ = 2302584875136. Its totient is φ = 241888665600.

The previous prime is 806871338831. The next prime is 806871338839. The reversal of 806871338832 is 238833178608.

It is a super-2 number, since 2×8068713388322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806871338831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19448703 + ... + 19490145.

Almost surely, 2806871338832 is an apocalyptic number.

806871338832 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806871338832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151292437568).

806871338832 is an abundant number, since it is smaller than the sum of its proper divisors (1495713536304).

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

806871338832 is a wasteful number, since it uses less digits than its factorization.

806871338832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42269 (or 42263 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 806871338832 in words is "eight hundred six billion, eight hundred seventy-one million, three hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 761 984 1066 1522 1599 1968 2132 2283 3044 3198 4264 4566 6088 6396 8528 9132 9893 12176 12792 18264 19786 25584 29679 31201 36528 39572 41443 59358 62402 79144 82886 93603 118716 124329 124804 158288 165772 187206 237432 248658 249608 331544 374412 405613 474864 497316 499216 538759 663088 748824 811226 994632 1077518 1216839 1497648 1616277 1622452 1699163 1989264 2155036 2433678 3232554 3244904 3398326 4310072 4867356 5097489 6465108 6489808 6796652 8620144 9734712 10194978 12930216 13593304 19469424 20389956 22089119 25860432 27186608 31538123 40779912 44178238 63076246 66267357 81559824 88356476 94614369 126152492 132534714 176712952 189228738 252304984 265069428 353425904 378457476 409995599 504609968 530138856 756914952 819991198 1060277712 1229986797 1293063043 1513829904 1639982396 2459973594 2586126086 3279964792 3879189129 4919947188 5172252172 6559929584 7758378258 9839894376 10344504344 15516756516 16809819559 19679788752 20689008688 31033513032 33619639118 50429458677 62067026064 67239278236 100858917354 134478556472 201717834708 268957112944 403435669416 806871338832