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68051787323040 = 25335171674155351
BaseRepresentation
bin11110111100100100010101…
…00111000001011010100000
322220221200120001202111202000
433132102022213001122200
532404430030023314130
6400422320504324000
720222402505066033
oct1736221247013240
9286850501674660
1068051787323040
111a757667923674
127770a85a73600
132bc83435b4261
1412b3a1cc3d01a
157d02b3260260
hex3de48a9c16a0

68051787323040 has 384 divisors, whose sum is σ = 252211538557440. Its totient is φ = 17078335488000.

The previous prime is 68051787323017. The next prime is 68051787323081. The reversal of 68051787323040 is 4032378715086.

It is a happy number.

68051787323040 is a `hidden beast` number, since 6 + 8 + 0 + 517 + 87 + 3 + 2 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1229431365 + ... + 1229486715.

It is an arithmetic number, because the mean of its divisors is an integer number (656800881660).

Almost surely, 268051787323040 is an apocalyptic number.

68051787323040 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 68051787323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126105769278720).

68051787323040 is an abundant number, since it is smaller than the sum of its proper divisors (184159751234400).

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

68051787323040 is a wasteful number, since it uses less digits than its factorization.

68051787323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72133 (or 72119 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 68051787323040 in words is "sixty-eight trillion, fifty-one billion, seven hundred eighty-seven million, three hundred twenty-three thousand, forty".