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686005445957706 = 232724621168315073
BaseRepresentation
bin1001101111111010110001011…
…0111010111001100001001010
310022221221110222000211001202200
42123332230112322321201022
51204404003123131121311
610431002315021541030
7264332154313651500
oct23376542672714112
93287843860731680
10686005445957706
11189645304133126
1264b3454ba14776
13235a20610702c4
14c158baaddc670
155449898c36556
hex26feb16eb984a

686005445957706 has 72 divisors (see below), whose sum is σ = 1729387900718244. Its totient is φ = 195959139425280.

The previous prime is 686005445957609. The next prime is 686005445957809. The reversal of 686005445957706 is 607759544500686.

686005445957706 is a `hidden beast` number, since 6 + 8 + 6 + 0 + 0 + 5 + 4 + 45 + 9 + 577 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 653455465700625 + 32549980257081 = 25562775^2 + 5705259^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80081815 + ... + 88233258.

Almost surely, 2686005445957706 is an apocalyptic number.

686005445957706 is an abundant number, since it is smaller than the sum of its proper divisors (1043382454760538).

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

686005445957706 is a wasteful number, since it uses less digits than its factorization.

686005445957706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168319716 (or 168319706 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 686005445957706 in words is "six hundred eighty-six trillion, five billion, four hundred forty-five million, nine hundred fifty-seven thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 4621 9242 13863 27726 32347 41589 64694 83178 97041 194082 226429 291123 452858 582246 679287 1358574 2037861 4075722 168315073 336630146 504945219 1009890438 1178205511 1514835657 2356411022 3029671314 3534616533 7069233066 8247438577 10603849599 16494877154 21207699198 24742315731 49484631462 74226947193 148453894386 777783952333 1555567904666 2333351856999 4666703713998 5444487666331 7000055570997 10888975332662 14000111141994 16333462998993 32666925997986 38111413664317 49000388996979 76222827328634 98000777993958 114334240992951 228668481985902 343002722978853 686005445957706