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68268255744 = 293132793329
BaseRepresentation
bin111111100101000110…
…101110101000000000
320112012201202201100110
4333211012232220000
52104303133140434
651210105351320
74634515412403
oct774506565000
9215181681313
1068268255744
1126a52717a77
1211292a98540
13658c735200
143438a29d3a
151b9858b4e9
hexfe51aea00

68268255744 has 240 divisors, whose sum is σ = 199489910400. Its totient is φ = 20733493248.

The previous prime is 68268255743. The next prime is 68268255799. The reversal of 68268255744 is 44755286286.

It is not an unprimeable number, because it can be changed into a prime (68268255743) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20505472 + ... + 20508800.

It is an arithmetic number, because the mean of its divisors is an integer number (831207960).

Almost surely, 268268255744 is an apocalyptic number.

68268255744 is a gapful number since it is divisible by the number (64) 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 68268255744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99744955200).

68268255744 is an abundant number, since it is smaller than the sum of its proper divisors (131221654656).

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

68268255744 is a wasteful number, since it uses less digits than its factorization.

68268255744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3426 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 57.

The spelling of 68268255744 in words is "sixty-eight billion, two hundred sixty-eight million, two hundred fifty-five thousand, seven hundred forty-four".