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42564067529 is a prime number
BaseRepresentation
bin100111101001000001…
…000010000011001001
311001212100210122220112
4213221001002003021
51144132400130104
631315331404105
73034530414224
oct475101020311
9131770718815
1042564067529
1117062340a15
1282ba753635
134024354199
1420bad385bb
151191b6a86e
hex9e90420c9

42564067529 has 2 divisors, whose sum is σ = 42564067530. Its totient is φ = 42564067528.

The previous prime is 42564067493. The next prime is 42564067603. The reversal of 42564067529 is 92576046524.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41829657529 + 734410000 = 204523^2 + 27100^2 .

It is a cyclic number.

It is not a de Polignac number, because 42564067529 - 216 = 42564001993 is a prime.

It is a super-2 number, since 2×425640675292 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42564060529) 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 as a sum of consecutive naturals, namely, 21282033764 + 21282033765.

It is an arithmetic number, because the mean of its divisors is an integer number (21282033765).

Almost surely, 242564067529 is an apocalyptic number.

It is an amenable number.

42564067529 is a deficient number, since it is larger than the sum of its proper divisors (1).

42564067529 is an equidigital number, since it uses as much as digits as its factorization.

42564067529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 42564067529 in words is "forty-two billion, five hundred sixty-four million, sixty-seven thousand, five hundred twenty-nine".