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68706942921792 = 2634732310915413
BaseRepresentation
bin11111001111101000101001…
…11011010010110001000000
3100000021022121222121021210000
433213310110323102301000
533001143304341444132
6402043311150440000
720320625044563000
oct1747642473226100
9300238558537700
1068706942921792
111a98a4a610292a
127857a48203000
132c4506314c416
1412d761041a000
157e235a3b287c
hex3e7d14ed2c40

68706942921792 has 1120 divisors, whose sum is σ = 250131486528000. Its totient is φ = 18603579101184.

The previous prime is 68706942921779. The next prime is 68706942921811. The reversal of 68706942921792 is 29712924960786.

68706942921792 is a `hidden beast` number, since 6 + 8 + 70 + 69 + 429 + 2 + 1 + 79 + 2 = 666.

68706942921792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68706942921792.

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 159 ways as a sum of consecutive naturals, for example, 4457719078 + ... + 4457734490.

It is an arithmetic number, because the mean of its divisors is an integer number (223331684400).

Almost surely, 268706942921792 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 68706942921792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125065743264000).

68706942921792 is an abundant number, since it is smaller than the sum of its proper divisors (181424543606208).

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

68706942921792 is a wasteful number, since it uses less digits than its factorization.

68706942921792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15590 (or 15557 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 68706942921792 in words is "sixty-eight trillion, seven hundred six billion, nine hundred forty-two million, nine hundred twenty-one thousand, seven hundred ninety-two".