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66476350080 = 273457183191
BaseRepresentation
bin111101111010010011…
…001001101010000000
320100120211222110220000
4331322103021222000
52042120421200310
650312214520000
74542226436550
oct757223115200
9210524873800
1066476350080
11262131917a8
1210a72966000
13636541a4ba
143308a5d160
151ae10d14c0
hexf7a4c9a80

66476350080 has 320 divisors, whose sum is σ = 271314679680. Its totient is φ = 15194511360.

The previous prime is 66476350013. The next prime is 66476350169. The reversal of 66476350080 is 8005367466.

66476350080 is a `hidden beast` number, since 6 + 6 + 4 + 7 + 63 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 271285 + ... + 454475.

It is an arithmetic number, because the mean of its divisors is an integer number (847858374).

Almost surely, 266476350080 is an apocalyptic number.

66476350080 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 66476350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135657339840).

66476350080 is an abundant number, since it is smaller than the sum of its proper divisors (204838329600).

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

66476350080 is a wasteful number, since it uses less digits than its factorization.

66476350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183229 (or 183208 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 66476350080 in words is "sixty-six billion, four hundred seventy-six million, three hundred fifty thousand, eighty".