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66092964480 = 2732517677997
BaseRepresentation
bin111101100011011100…
…101001101010000000
320022121010120110201100
4331203130221222000
52040324244330410
650210201334400
74526562633354
oct754334515200
9208533513640
1066092964480
11260368344a4
1210986497400
136303b7530a
1432adb81464
151abc6008c0
hexf63729a80

66092964480 has 384 divisors, whose sum is σ = 242252084880. Its totient is φ = 16546922496.

The previous prime is 66092964479. The next prime is 66092964523. The reversal of 66092964480 is 8446929066.

66092964480 is a `hidden beast` number, since 6 + 609 + 29 + 6 + 4 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 64560711744 + 1532252736 = 254088^2 + 39144^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 66291342 + ... + 66292338.

Almost surely, 266092964480 is an apocalyptic number.

66092964480 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 66092964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121126042440).

66092964480 is an abundant number, since it is smaller than the sum of its proper divisors (176159120400).

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

66092964480 is a wasteful number, since it uses less digits than its factorization.

66092964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 66092964480 in words is "sixty-six billion, ninety-two million, nine hundred sixty-four thousand, four hundred eighty".