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68305202784 = 25327134360611
BaseRepresentation
bin111111100111010011…
…101010111001100000
320112022022021211011100
4333213103222321200
52104342112442114
651213505314400
74635444433620
oct774723527140
9215268254140
1068305202784
1126a71562915
12112a3335a00
1365972a0270
14343d8c6880
151b9b938909
hexfe74eae60

68305202784 has 288 divisors, whose sum is σ = 244631971584. Its totient is φ = 17595325440.

The previous prime is 68305202761. The next prime is 68305202839. The reversal of 68305202784 is 48720250386.

68305202784 is a `hidden beast` number, since 68 + 305 + 202 + 7 + 84 = 666.

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

It is a super-2 number, since 2×683052027842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 1096639 + ... + 1157249.

It is an arithmetic number, because the mean of its divisors is an integer number (849416568).

Almost surely, 268305202784 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 68305202784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122315985792).

68305202784 is an abundant number, since it is smaller than the sum of its proper divisors (176326768800).

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

68305202784 is a wasteful number, since it uses less digits than its factorization.

68305202784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60690 (or 60679 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 68305202784 in words is "sixty-eight billion, three hundred five million, two hundred two thousand, seven hundred eighty-four".