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66584243880 = 23325741147149
BaseRepresentation
bin111110000000101110…
…101110111010101000
320100212101000001100200
4332000232232322220
52042331031301010
650331031232200
74545006510000
oct760056567250
9210771001320
1066584243880
1126269084a30
1210aa2b18660
136381895c9b
143319107000
151aea7e4cc0
hexf80baeea8

66584243880 has 960 divisors, whose sum is σ = 283147488000. Its totient is φ = 13450429440.

The previous prime is 66584243879. The next prime is 66584243899. The reversal of 66584243880 is 8834248566.

66584243880 is a `hidden beast` number, since 6 + 6 + 584 + 24 + 38 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 446874046 + ... + 446874194.

It is an arithmetic number, because the mean of its divisors is an integer number (294945300).

Almost surely, 266584243880 is an apocalyptic number.

66584243880 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 66584243880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141573744000).

66584243880 is an abundant number, since it is smaller than the sum of its proper divisors (216563244120).

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

66584243880 is a wasteful number, since it uses less digits than its factorization.

66584243880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 66584243880 in words is "sixty-six billion, five hundred eighty-four million, two hundred forty-three thousand, eight hundred eighty".