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68586227712 = 211346432
BaseRepresentation
bin111111111000000011…
…101100100000000000
320120000220002100220000
4333320003230200000
52110431033241322
651301424520000
74645426213362
oct777003544000
9216026070800
1068586227712
11270a6157022
1211361480000
1366105862c2
143468d5ad32
151bb644a3ac
hexff80ec800

68586227712 has 180 divisors, whose sum is σ = 205181011035. Its totient is φ = 22826520576.

The previous prime is 68586227707. The next prime is 68586227737. The reversal of 68586227712 is 21772268586.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

68586227712 is a `hidden beast` number, since 6 + 8 + 5 + 8 + 622 + 7 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34293113856 + 34293113856 = 185184^2 + 185184^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=185184.

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 14 ways as a sum of consecutive naturals, for example, 106665663 + ... + 106666305.

Almost surely, 268586227712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68586227712

68586227712 is an abundant number, since it is smaller than the sum of its proper divisors (136594783323).

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

68586227712 is an frugal number, since it uses more digits than its factorization.

68586227712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 648 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 68586227712 in words is "sixty-eight billion, five hundred eighty-six million, two hundred twenty-seven thousand, seven hundred twelve".