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68078503584 = 253272131919531
BaseRepresentation
bin111111011001110010…
…111000011010100000
320111201111201022022200
4333121302320122200
52103411044103314
651135210333200
74630022506200
oct773162703240
9214644638280
1068078503584
11269655a4403
121123b42a200
13655c328520
14341b754400
151b86aa8709
hexfd9cb86a0

68078503584 has 432 divisors, whose sum is σ = 255307459680. Its totient is φ = 17008911360.

The previous prime is 68078503547. The next prime is 68078503601. The reversal of 68078503584 is 48530587086.

68078503584 is a `hidden beast` number, since 6 + 8 + 0 + 7 + 8 + 50 + 3 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68078503584.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3475899 + ... + 3495429.

It is an arithmetic number, because the mean of its divisors is an integer number (590989490).

Almost surely, 268078503584 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 68078503584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127653729840).

68078503584 is an abundant number, since it is smaller than the sum of its proper divisors (187228956096).

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

68078503584 is a wasteful number, since it uses less digits than its factorization.

68078503584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19593 (or 19575 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 68078503584 in words is "sixty-eight billion, seventy-eight million, five hundred three thousand, five hundred eighty-four".