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68576440608 = 25321373833023
BaseRepresentation
bin111111110111011110…
…010111000100100000
320120000012200010111200
4333313132113010200
52110421032044413
651300435041200
74645250061504
oct776736270440
9216005603450
1068576440608
11270a0681905
121135a140200
13660b53a610
143467930304
151bb5665573
hexff7797120

68576440608 has 288 divisors, whose sum is σ = 215528511744. Its totient is φ = 20553854976.

The previous prime is 68576440577. The next prime is 68576440619. The reversal of 68576440608 is 80604467586.

68576440608 is a `hidden beast` number, since 6 + 8 + 576 + 4 + 4 + 0 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22683385 + ... + 22686407.

It is an arithmetic number, because the mean of its divisors is an integer number (748362888).

Almost surely, 268576440608 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 68576440608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107764255872).

68576440608 is an abundant number, since it is smaller than the sum of its proper divisors (146952071136).

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

68576440608 is a wasteful number, since it uses less digits than its factorization.

68576440608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 68576440608 in words is "sixty-eight billion, five hundred seventy-six million, four hundred forty thousand, six hundred eight".