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685356418090368 = 2733257771630929
BaseRepresentation
bin1001101111010100111111100…
…1110110000100010110000000
310022212122102201011101021222000
42123311033321312010112000
51204312334421012342433
610425344220354144000
7264234236642054643
oct23365177166042600
93285572634337860
10685356418090368
1118941502a897202
1264a4a7b9882000
1323555aa9ba3c0b
14c1355db59da5a
155437a5ea4d113
hex26f53f9d84580

685356418090368 has 128 divisors (see below), whose sum is σ = 2030623955388000. Its totient is φ = 227563220238336.

The previous prime is 685356418090367. The next prime is 685356418090373. The reversal of 685356418090368 is 863090814653586.

685356418090368 is a `hidden beast` number, since 6 + 8 + 5 + 356 + 4 + 180 + 90 + 3 + 6 + 8 = 666.

685356418090368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 685356418090296 and 685356418090305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685356418090367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384927273 + ... + 386703656.

Almost surely, 2685356418090368 is an apocalyptic number.

It is an amenable number.

685356418090368 is an abundant number, since it is smaller than the sum of its proper divisors (1345267537297632).

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

685356418090368 is a wasteful number, since it uses less digits than its factorization.

685356418090368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771631209 (or 771631191 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 685356418090368 in words is "six hundred eighty-five trillion, three hundred fifty-six billion, four hundred eighteen million, ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 257 288 384 432 514 576 771 864 1028 1152 1542 1728 2056 2313 3084 3456 4112 4626 6168 6939 8224 9252 12336 13878 16448 18504 24672 27756 32896 37008 49344 55512 74016 98688 111024 148032 222048 296064 444096 888192 771630929 1543261858 2314892787 3086523716 4629785574 6173047432 6944678361 9259571148 12346094864 13889356722 18519142296 20834035083 24692189728 27778713444 37038284592 41668070166 49384379456 55557426888 74076569184 83336140332 98768758912 111114853776 148153138368 166672280664 198309148753 222229707552 296306276736 333344561328 396618297506 444459415104 594927446259 666689122656 793236595012 888918830208 1189854892518 1333378245312 1586473190024 1784782338777 2379709785036 2666756490624 3172946380048 3569564677554 4759419570072 5354347016331 6345892760096 7139129355108 9518839140144 10708694032662 12691785520192 14278258710216 19037678280288 21417388065324 25383571040384 28556517420432 38075356560576 42834776130648 57113034840864 76150713121152 85669552261296 114226069681728 171339104522592 228452139363456 342678209045184 685356418090368