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66400521 = 31117118361
BaseRepresentation
bin1111110101001…
…1000100001001
311121221111101120
43331103010021
5113444304041
610331105453
71434252345
oct375230411
9147844346
1066400521
1134532770
121a2a2289
13109ab365
148b66625
155c69366
hex3f53109

66400521 has 16 divisors (see below), whose sum is σ = 102264768. Its totient is φ = 37875200.

The previous prime is 66400493. The next prime is 66400567. The reversal of 66400521 is 12500466.

66400521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66400521 - 25 = 66400489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66400491 and 66400500.

It is not an unprimeable number, because it can be changed into a prime (66400571) 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 15 ways as a sum of consecutive naturals, for example, 58620 + ... + 59741.

It is an arithmetic number, because the mean of its divisors is an integer number (6391548).

Almost surely, 266400521 is an apocalyptic number.

It is an amenable number.

66400521 is a deficient number, since it is larger than the sum of its proper divisors (35864247).

66400521 is a wasteful number, since it uses less digits than its factorization.

66400521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118392.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 66400521 is about 8148.6514835278. The cubic root of 66400521 is about 404.9398295002.

Adding to 66400521 its reverse (12500466), we get a palindrome (78900987).

The spelling of 66400521 in words is "sixty-six million, four hundred thousand, five hundred twenty-one".

Divisors: 1 3 11 17 33 51 187 561 118361 355083 1301971 2012137 3905913 6036411 22133507 66400521