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66206464 = 281072417
BaseRepresentation
bin1111110010001…
…1101100000000
311121120122012021
43330203230000
5113422101324
610323011224
71432513522
oct374435400
9147518167
1066206464
113440a995
121a209b14
1310940c2c
148b15a12
155c2bae4
hex3f23b00

66206464 has 36 divisors (see below), whose sum is σ = 133444584. Its totient is φ = 32780288.

The previous prime is 66206461. The next prime is 66206471. The reversal of 66206464 is 46460266.

It is not an unprimeable number, because it can be changed into a prime (66206461) 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, 26184 + ... + 28600.

It is an arithmetic number, because the mean of its divisors is an integer number (3706794).

Almost surely, 266206464 is an apocalyptic number.

66206464 is a gapful number since it is divisible by the number (64) 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 66206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66722292).

66206464 is an abundant number, since it is smaller than the sum of its proper divisors (67238120).

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

66206464 is a wasteful number, since it uses less digits than its factorization.

66206464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 66206464 is about 8136.7354633170. The cubic root of 66206464 is about 404.5449626939.

The spelling of 66206464 in words is "sixty-six million, two hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 856 1712 2417 3424 4834 6848 9668 13696 19336 27392 38672 77344 154688 258619 309376 517238 618752 1034476 2068952 4137904 8275808 16551616 33103232 66206464