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66541696 = 271339989
BaseRepresentation
bin1111110111010…
…1100010000000
311122012200001021
43331311202000
5114013313241
610334115224
71435411054
oct375654200
9148180037
1066541696
1134619841
121a34bb14
1310a2a6b0
148ba1c64
155c960d1
hex3f75880

66541696 has 32 divisors (see below), whose sum is σ = 142764300. Its totient is φ = 30710784.

The previous prime is 66541693. The next prime is 66541703. The reversal of 66541696 is 69614566.

66541696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 9388096 = 7560^2 + 3064^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (66541693) 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 3 ways as a sum of consecutive naturals, for example, 18331 + ... + 21658.

Almost surely, 266541696 is an apocalyptic number.

It is an amenable number.

66541696 is an abundant number, since it is smaller than the sum of its proper divisors (76222604).

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

66541696 is a wasteful number, since it uses less digits than its factorization.

66541696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40016 (or 40004 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 66541696 is about 8157.3093603222. The cubic root of 66541696 is about 405.2266089441.

The spelling of 66541696 in words is "sixty-six million, five hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 39989 79978 159956 319912 519857 639824 1039714 1279648 2079428 2559296 4158856 5118592 8317712 16635424 33270848 66541696