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541463665745 = 53131693204361
BaseRepresentation
bin1111110000100011011…
…11111101110001010001
31220202121112102011200102
413320101233331301101
532332404144300440
61052424525302145
754055655135252
oct7702157756121
91822545364612
10541463665745
111996a713a252
1288b33104955
133c0a1510432
141c2c7d56b29
15e140d88b15
hex7e11bfdc51

541463665745 has 16 divisors (see below), whose sum is σ = 652220505552. Its totient is φ = 431529845760.

The previous prime is 541463665703. The next prime is 541463665777. The reversal of 541463665745 is 547566364145.

It can be written as a sum of positive squares in 8 ways, for example, as 41411029009 + 500052636736 = 203497^2 + 707144^2 .

It is not a de Polignac number, because 541463665745 - 212 = 541463661649 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2547365 + ... + 2751725.

It is an arithmetic number, because the mean of its divisors is an integer number (40763781597).

Almost surely, 2541463665745 is an apocalyptic number.

It is an amenable number.

541463665745 is a deficient number, since it is larger than the sum of its proper divisors (110756839807).

541463665745 is a wasteful number, since it uses less digits than its factorization.

541463665745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206372.

The product of its digits is 36288000, while the sum is 56.

The spelling of 541463665745 in words is "five hundred forty-one billion, four hundred sixty-three million, six hundred sixty-five thousand, seven hundred forty-five".

Divisors: 1 5 313 1565 1693 8465 204361 529909 1021805 2649545 63964993 319824965 345983173 1729915865 108292733149 541463665745