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164687138503 is a prime number
BaseRepresentation
bin1001100101100000011…
…1100100111011000111
3120202002022220110021021
42121120013210323013
510144234401413003
6203353424532011
714620046403016
oct2313007447307
9522068813237
10164687138503
1163930661748
1227b01481007
13126b7346564
147d84214a7d
15443d1e42bd
hex26581e4ec7

164687138503 has 2 divisors, whose sum is σ = 164687138504. Its totient is φ = 164687138502.

The previous prime is 164687138477. The next prime is 164687138513. The reversal of 164687138503 is 305831786461.

It is a happy number.

164687138503 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164687138503 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164687138513) 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, 82343569251 + 82343569252.

It is an arithmetic number, because the mean of its divisors is an integer number (82343569252).

Almost surely, 2164687138503 is an apocalyptic number.

164687138503 is a deficient number, since it is larger than the sum of its proper divisors (1).

164687138503 is an equidigital number, since it uses as much as digits as its factorization.

164687138503 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 164687138503 in words is "one hundred sixty-four billion, six hundred eighty-seven million, one hundred thirty-eight thousand, five hundred three".