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66230876160 = 2113253719423
BaseRepresentation
bin111101101011101010…
…101111100000000000
320022221202002002222100
4331223222233200000
52041120101014120
650232005310400
74533156105261
oct755352574000
9208852062870
1066230876160
11260a766a599
1210a04705400
136326600c67
1432c4200968
151ac9793490
hexf6baaf800

66230876160 has 288 divisors, whose sum is σ = 235760353920. Its totient is φ = 17183342592.

The previous prime is 66230876099. The next prime is 66230876203. The reversal of 66230876160 is 6167803266.

66230876160 is a `hidden beast` number, since 6 + 6 + 23 + 0 + 8 + 7 + 616 + 0 = 666.

66230876160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3400209 + ... + 3419631.

It is an arithmetic number, because the mean of its divisors is an integer number (818612340).

Almost surely, 266230876160 is an apocalyptic number.

66230876160 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 66230876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117880176960).

66230876160 is an abundant number, since it is smaller than the sum of its proper divisors (169529477760).

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

66230876160 is a wasteful number, since it uses less digits than its factorization.

66230876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19493 (or 19470 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 66230876160 in words is "sixty-six billion, two hundred thirty million, eight hundred seventy-six thousand, one hundred sixty".