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68348786688 = 2113371317247
BaseRepresentation
bin111111101001111001…
…111011100000000000
320112102100022010001000
4333221321323200000
52104434242133223
651222103412000
74636514046450
oct775171734000
9215370263030
1068348786688
1126a94121076
12112b5a54000
1365a3320160
1434455cdd60
151ba0697543
hexfe9e7b800

68348786688 has 1152 divisors, whose sum is σ = 270340761600. Its totient is φ = 16604725248.

The previous prime is 68348786687. The next prime is 68348786711. The reversal of 68348786688 is 88668784386.

68348786688 is a `hidden beast` number, since 6 + 8 + 3 + 487 + 8 + 66 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68348786687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1454229481 + ... + 1454229527.

It is an arithmetic number, because the mean of its divisors is an integer number (234670800).

Almost surely, 268348786688 is an apocalyptic number.

68348786688 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68348786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135170380800).

68348786688 is an abundant number, since it is smaller than the sum of its proper divisors (201991974912).

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

68348786688 is a wasteful number, since it uses less digits than its factorization.

68348786688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 68348786688 in words is "sixty-eight billion, three hundred forty-eight million, seven hundred eighty-six thousand, six hundred eighty-eight".