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68442610920096 = 2537101849123393
BaseRepresentation
bin11111000111111100010011…
…00000101110101010100000
322222100001100020022022101010
433203332021200232222200
532432330431343420341
6401322033522340520
720262546462621510
oct1743761140565240
9288301306268333
1068442610920096
111a898391629686
127814777aba740
132c26158a5a76a
1412c88d63cb840
157da539234716
hex3e3f8982eaa0

68442610920096 has 48 divisors (see below), whose sum is σ = 205327832762304. Its totient is φ = 19555031691264.

The previous prime is 68442610920029. The next prime is 68442610920121. The reversal of 68442610920096 is 69002901624486.

68442610920096 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 (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 50924561025 + ... + 50924562368.

It is an arithmetic number, because the mean of its divisors is an integer number (4277663182548).

Almost surely, 268442610920096 is an apocalyptic number.

It is an amenable number.

68442610920096 is an abundant number, since it is smaller than the sum of its proper divisors (136885221842208).

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

68442610920096 is a wasteful number, since it uses less digits than its factorization.

68442610920096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101849123413 (or 101849123405 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 68442610920096 in words is "sixty-eight trillion, four hundred forty-two billion, six hundred ten million, nine hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 101849123393 203698246786 305547370179 407396493572 611094740358 712943863751 814792987144 1222189480716 1425887727502 1629585974288 2138831591253 2444378961432 2851775455004 3259171948576 4277663182506 4888757922864 5703550910008 8555326365012 9777515845728 11407101820016 17110652730024 22814203640032 34221305460048 68442610920096