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66006016 = 21073883
BaseRepresentation
bin1111101111001…
…0110000000000
311121012110020021
43323302300000
5113344143031
610314423224
71431020236
oct373626000
9147173207
1066006016
113429332a
121a131b14
13108a091b
148aa2956
155bdc511
hex3ef2c00

66006016 has 44 divisors (see below), whose sum is σ = 133906552. Its totient is φ = 32514048.

The previous prime is 66006013. The next prime is 66006047. The reversal of 66006016 is 61060066.

It is not an unprimeable number, because it can be changed into a prime (66006013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74311 + ... + 75193.

Almost surely, 266006016 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 66006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66953276).

66006016 is an abundant number, since it is smaller than the sum of its proper divisors (67900536).

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

66006016 is an equidigital number, since it uses as much as digits as its factorization.

66006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 66006016 is about 8124.4086554038. The cubic root of 66006016 is about 404.1362805275.

The spelling of 66006016 in words is "sixty-six million, six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 883 1024 1168 1766 2336 3532 4672 7064 9344 14128 18688 28256 37376 56512 64459 74752 113024 128918 226048 257836 452096 515672 904192 1031344 2062688 4125376 8250752 16501504 33003008 66006016