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68076852480 = 2832572139277
BaseRepresentation
bin111111011001101100…
…100101010100000000
320111201101121102102200
4333121230211110000
52103410133234410
651135111113200
74630002461400
oct773154452400
9214641542380
1068076852480
112696467695a
121123a972800
13655bb9ab40
14341b444800
151b8687e3c0
hexfd9b25500

68076852480 has 648 divisors, whose sum is σ = 295102414152. Its totient is φ = 14361919488.

The previous prime is 68076852449. The next prime is 68076852491. The reversal of 68076852480 is 8425867086.

68076852480 is a `hidden beast` number, since 6 + 80 + 7 + 6 + 85 + 2 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5920379136 + 62156473344 = 76944^2 + 249312^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7333602 + ... + 7342878.

Almost surely, 268076852480 is an apocalyptic number.

68076852480 is a gapful number since it is divisible by the number (60) 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 68076852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147551207076).

68076852480 is an abundant number, since it is smaller than the sum of its proper divisors (227025561672).

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

68076852480 is a wasteful number, since it uses less digits than its factorization.

68076852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331 (or 9307 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 68076852480 in words is "sixty-eight billion, seventy-six million, eight hundred fifty-two thousand, four hundred eighty".