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68643431808 = 2737251101741
BaseRepresentation
bin111111111011011101…
…111010010110000000
320120011212201122011020
4333323131322112000
52111040204304213
651311230545440
74650022354230
oct777335722600
9216155648136
1068643431808
1127125478336
1211378668280
13661c394793
1434727abcc0
151bbb499923
hexffb77a580

68643431808 has 128 divisors (see below), whose sum is σ = 209214109440. Its totient is φ = 19534080000.

The previous prime is 68643431807. The next prime is 68643431833. The reversal of 68643431808 is 80813434686.

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

It is a super-2 number, since 2×686434318082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68643431807) 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, 623818 + ... + 725558.

It is an arithmetic number, because the mean of its divisors is an integer number (1634485230).

Almost surely, 268643431808 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 68643431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104607054720).

68643431808 is an abundant number, since it is smaller than the sum of its proper divisors (140570677632).

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

68643431808 is a wasteful number, since it uses less digits than its factorization.

68643431808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102016 (or 102004 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 68643431808 in words is "sixty-eight billion, six hundred forty-three million, four hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 251 336 384 448 502 672 753 896 1004 1344 1506 1757 2008 2688 3012 3514 4016 5271 6024 7028 8032 10542 12048 14056 16064 21084 24096 28112 32128 42168 48192 56224 84336 96384 101741 112448 168672 203482 224896 305223 337344 406964 610446 674688 712187 813928 1220892 1424374 1627856 2136561 2441784 2848748 3255712 4273122 4883568 5697496 6511424 8546244 9767136 11394992 13022848 17092488 19534272 22789984 25536991 34184976 39068544 45579968 51073982 68369952 76610973 91159936 102147964 136739904 153221946 178758937 204295928 273479808 306443892 357517874 408591856 536276811 612887784 715035748 817183712 1072553622 1225775568 1430071496 1634367424 2145107244 2451551136 2860142992 3268734848 4290214488 4903102272 5720285984 8580428976 9806204544 11440571968 17160857952 22881143936 34321715904 68643431808