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68943581280 = 253257109131479
BaseRepresentation
bin100000000110101011…
…0111001000001100000
320120221210111210211100
41000031112321001200
52112144024100110
651401112114400
74660325525460
oct1001526710140
9216853453740
1068943581280
1127269944052
1211441095a00
136669615612
1434a05bdba0
151bd79d7bc0
hex100d5b9060

68943581280 has 576 divisors, whose sum is σ = 273988915200. Its totient is φ = 15462420480.

The previous prime is 68943581269. The next prime is 68943581281. The reversal of 68943581280 is 8218534986.

68943581280 is a `hidden beast` number, since 6 + 8 + 9 + 4 + 358 + 1 + 280 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68943581281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143932081 + ... + 143932559.

It is an arithmetic number, because the mean of its divisors is an integer number (475675200).

Almost surely, 268943581280 is an apocalyptic number.

68943581280 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 68943581280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136994457600).

68943581280 is an abundant number, since it is smaller than the sum of its proper divisors (205045333920).

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

68943581280 is a wasteful number, since it uses less digits than its factorization.

68943581280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 68943581280 in words is "sixty-eight billion, nine hundred forty-three million, five hundred eighty-one thousand, two hundred eighty".