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638039288129 is a prime number
BaseRepresentation
bin10010100100011100001…
…10101110100101000001
32020222220001111002221112
421102032012232211001
540423201024210004
61205040004133105
764045131315455
oct11221606564501
92228801432845
10638039288129
112266555a9801
12a37a6097195
1348222740219
1422c4a2a2665
15118e4652e6e
hex948e1ae941

638039288129 has 2 divisors, whose sum is σ = 638039288130. Its totient is φ = 638039288128.

The previous prime is 638039288101. The next prime is 638039288153. The reversal of 638039288129 is 921882930836.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 575546787904 + 62492500225 = 758648^2 + 249985^2 .

It is a cyclic number.

It is not a de Polignac number, because 638039288129 - 212 = 638039284033 is a prime.

It is a super-2 number, since 2×6380392881292 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (638039288429) 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, 319019644064 + 319019644065.

It is an arithmetic number, because the mean of its divisors is an integer number (319019644065).

Almost surely, 2638039288129 is an apocalyptic number.

It is an amenable number.

638039288129 is a deficient number, since it is larger than the sum of its proper divisors (1).

638039288129 is an equidigital number, since it uses as much as digits as its factorization.

638039288129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8957952, while the sum is 59.

The spelling of 638039288129 in words is "six hundred thirty-eight billion, thirty-nine million, two hundred eighty-eight thousand, one hundred twenty-nine".