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68054220000 = 25325413127229
BaseRepresentation
bin111111011000010110…
…001111110011100000
320111122211000120111200
4333120112033303200
52103333340020000
651132542041200
74626306216444
oct773026176340
9214584016450
1068054220000
1126952918828
1211233279200
1365572a5440
143418432824
151b848ad500
hexfd858fce0

68054220000 has 720 divisors, whose sum is σ = 263633610240. Its totient is φ = 16547328000.

The previous prime is 68054219977. The next prime is 68054220001. The reversal of 68054220000 is 2245086.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68054220001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 297179886 + ... + 297180114.

It is an arithmetic number, because the mean of its divisors is an integer number (366157792).

Almost surely, 268054220000 is an apocalyptic number.

68054220000 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 68054220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131816805120).

68054220000 is an abundant number, since it is smaller than the sum of its proper divisors (195579390240).

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

68054220000 is a wasteful number, since it uses less digits than its factorization.

68054220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 68054220000 its reverse (2245086), we get a palindrome (68056465086).

The spelling of 68054220000 in words is "sixty-eight billion, fifty-four million, two hundred twenty thousand".