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42524332129 is a prime number
BaseRepresentation
bin100111100110101001…
…011101000001100001
311001202121000220012001
4213212221131001201
51144042212112004
631311352004001
73033535600456
oct474651350141
9131677026161
1042524332129
1117041971144
1282a9390601
134019050c06
1420b595382d
15118d41c1a4
hex9e6a5d061

42524332129 has 2 divisors, whose sum is σ = 42524332130. Its totient is φ = 42524332128.

The previous prime is 42524332121. The next prime is 42524332159. The reversal of 42524332129 is 92123342524.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32378403600 + 10145928529 = 179940^2 + 100727^2 .

It is a cyclic number.

It is not a de Polignac number, because 42524332129 - 23 = 42524332121 is a prime.

It is a super-3 number, since 3×425243321293 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (42524332121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21262166064 + 21262166065.

It is an arithmetic number, because the mean of its divisors is an integer number (21262166065).

Almost surely, 242524332129 is an apocalyptic number.

It is an amenable number.

42524332129 is a deficient number, since it is larger than the sum of its proper divisors (1).

42524332129 is an equidigital number, since it uses as much as digits as its factorization.

42524332129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 37.

The spelling of 42524332129 in words is "forty-two billion, five hundred twenty-four million, three hundred thirty-two thousand, one hundred twenty-nine".