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66459016 = 23135910831
BaseRepresentation
bin1111110110000…
…1010110001000
311122001110122001
43331201112020
5114003142031
610332240344
71434615031
oct375412610
9148043561
1066459016
1134572708
121a3100b4
13109cbb80
148b7da88
155c7b861
hex3f61588

66459016 has 32 divisors (see below), whose sum is σ = 136483200. Its totient is φ = 30150720.

The previous prime is 66459011. The next prime is 66459031. The reversal of 66459016 is 61095466.

66459016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66459011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721 + ... + 11551.

It is an arithmetic number, because the mean of its divisors is an integer number (4265100).

Almost surely, 266459016 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 66459016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68241600).

66459016 is an abundant number, since it is smaller than the sum of its proper divisors (70024184).

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

66459016 is a wasteful number, since it uses less digits than its factorization.

66459016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10905 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 66459016 is about 8152.2399375877. The cubic root of 66459016 is about 405.0587040852.

The spelling of 66459016 in words is "sixty-six million, four hundred fifty-nine thousand, sixteen".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 472 767 1534 3068 6136 10831 21662 43324 86648 140803 281606 563212 639029 1126424 1278058 2556116 5112232 8307377 16614754 33229508 66459016