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13537248029 is a prime number
BaseRepresentation
bin11001001101110001…
…00000001100011101
31021221102201110012122
430212320200030131
5210211013414104
610115142112325
7656315465264
oct144670401435
937842643178
1013537248029
115817472898
12275971b6a5
131379798b46
14925c595db
155436c66be
hex326e2031d

13537248029 has 2 divisors, whose sum is σ = 13537248030. Its totient is φ = 13537248028.

The previous prime is 13537248017. The next prime is 13537248031. The reversal of 13537248029 is 92084273531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10717425625 + 2819822404 = 103525^2 + 53102^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13537248029 is a prime.

Together with 13537248031, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13537218029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6768624014 + 6768624015.

It is an arithmetic number, because the mean of its divisors is an integer number (6768624015).

Almost surely, 213537248029 is an apocalyptic number.

It is an amenable number.

13537248029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13537248029 is an equidigital number, since it uses as much as digits as its factorization.

13537248029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 13537248029 in words is "thirteen billion, five hundred thirty-seven million, two hundred forty-eight thousand, twenty-nine".