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1638138097 is a prime number
BaseRepresentation
bin110000110100100…
…0000000011110001
311020011110001000101
41201221000003301
511323330404342
6430314552401
755410641551
oct14151000361
94204401011
101638138097
11770760442
12398738701
132014c9cab
141177c1161
1598c343b7
hex61a400f1

1638138097 has 2 divisors, whose sum is σ = 1638138098. Its totient is φ = 1638138096.

The previous prime is 1638138091. The next prime is 1638138133. The reversal of 1638138097 is 7908318361.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1233484641 + 404653456 = 35121^2 + 20116^2 .

It is an emirp because it is prime and its reverse (7908318361) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1638138097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1638138091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 819069048 + 819069049.

It is an arithmetic number, because the mean of its divisors is an integer number (819069049).

Almost surely, 21638138097 is an apocalyptic number.

It is an amenable number.

1638138097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1638138097 is an equidigital number, since it uses as much as digits as its factorization.

1638138097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 1638138097 is about 40473.9187255200. The cubic root of 1638138097 is about 1178.8272598828.

The spelling of 1638138097 in words is "one billion, six hundred thirty-eight million, one hundred thirty-eight thousand, ninety-seven".