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38627018137 is a prime number
BaseRepresentation
bin100011111110010110…
…011000010110011001
310200200222112211110101
4203332112120112121
51113102004040022
625424531015401
72535133144141
oct437626302631
9120628484411
1038627018137
1115421a43494
1275a013a561
1338477a3766
141c260cd921
1510111cc627
hex8fe598599

38627018137 has 2 divisors, whose sum is σ = 38627018138. Its totient is φ = 38627018136.

The previous prime is 38627018099. The next prime is 38627018149. The reversal of 38627018137 is 73181072683.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26198335881 + 12428682256 = 161859^2 + 111484^2 .

It is an emirp because it is prime and its reverse (73181072683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38627018137 - 231 = 36479534489 is a prime.

It is a super-2 number, since 2×386270181372 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38627018737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19313509068 + 19313509069.

It is an arithmetic number, because the mean of its divisors is an integer number (19313509069).

Almost surely, 238627018137 is an apocalyptic number.

It is an amenable number.

38627018137 is a deficient number, since it is larger than the sum of its proper divisors (1).

38627018137 is an equidigital number, since it uses as much as digits as its factorization.

38627018137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 38627018137 in words is "thirty-eight billion, six hundred twenty-seven million, eighteen thousand, one hundred thirty-seven".