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6808296096 = 2532716372063
BaseRepresentation
bin1100101011100111…
…00101101010100000
3122120111000021110200
412111303211222200
5102420410433341
63043325225200
7330500363520
oct62563455240
918514007420
106808296096
112984118698
1213a0102200
13846694a94
144882d7680
1529ca9cdb6
hex195ce5aa0

6808296096 has 144 divisors (see below), whose sum is σ = 22151211264. Its totient is φ = 1943096832.

The previous prime is 6808296073. The next prime is 6808296109. The reversal of 6808296096 is 6906928086.

6808296096 is a `hidden beast` number, since 6 + 8 + 0 + 8 + 29 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3299161 + ... + 3301223.

It is an arithmetic number, because the mean of its divisors is an integer number (153827856).

Almost surely, 26808296096 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 6808296096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075605632).

6808296096 is an abundant number, since it is smaller than the sum of its proper divisors (15342915168).

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

6808296096 is a wasteful number, since it uses less digits than its factorization.

6808296096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3712 counting only the distinct ones).

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

The square root of 6808296096 is about 82512.3996499920. The cubic root of 6808296096 is about 1895.3066150109.

The spelling of 6808296096 in words is "six billion, eight hundred eight million, two hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1637 2016 2063 3274 4126 4911 6189 6548 8252 9822 11459 12378 13096 14441 14733 16504 18567 19644 22918 24756 26192 28882 29466 33008 34377 37134 39288 43323 45836 49512 52384 57764 58932 66016 68754 74268 78576 86646 91672 99024 103131 115528 117864 129969 137508 148536 157152 173292 183344 198048 206262 231056 235728 259938 275016 297072 346584 366688 412524 462112 471456 519876 550032 594144 693168 825048 1039752 1100064 1386336 1650096 2079504 3300192 3377131 4159008 6754262 10131393 13508524 20262786 23639917 27017048 30394179 40525572 47279834 54034096 60788358 70919751 81051144 94559668 108068192 121576716 141839502 162102288 189119336 212759253 243153432 283679004 324204576 378238672 425518506 486306864 567358008 756477344 851037012 972613728 1134716016 1702074024 2269432032 3404148048 6808296096