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408239532137 is a prime number
BaseRepresentation
bin1011111000011001111…
…10001110100001101001
31110000201220200222012202
411330030332032201221
523142033310012022
6511313113545545
741331361524413
oct5741476164151
91400656628182
10408239532137
11148151633898
12671527152b5
132c65c69a348
1415a8a5bd9b3
15a944e5b592
hex5f0cf8e869

408239532137 has 2 divisors, whose sum is σ = 408239532138. Its totient is φ = 408239532136.

The previous prime is 408239532073. The next prime is 408239532139. The reversal of 408239532137 is 731235932804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 376622780416 + 31616751721 = 613696^2 + 177811^2 .

It is a cyclic number.

It is not a de Polignac number, because 408239532137 - 26 = 408239532073 is a prime.

Together with 408239532139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 408239532091 and 408239532100.

It is not a weakly prime, because it can be changed into another prime (408239532139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204119766068 + 204119766069.

It is an arithmetic number, because the mean of its divisors is an integer number (204119766069).

Almost surely, 2408239532137 is an apocalyptic number.

It is an amenable number.

408239532137 is a deficient number, since it is larger than the sum of its proper divisors (1).

408239532137 is an equidigital number, since it uses as much as digits as its factorization.

408239532137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 408239532137 in words is "four hundred eight billion, two hundred thirty-nine million, five hundred thirty-two thousand, one hundred thirty-seven".