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167021718889 is a prime number
BaseRepresentation
bin1001101110001101000…
…1010010110101101001
3120222010000211102111111
42123203101102311221
510214030030001024
6204421223030321
715031645120564
oct2334321226551
9528100742444
10167021718889
1164919451523
122845329b3a1
1312999c0847c
1481262c54db
154528146a94
hex26e3452d69

167021718889 has 2 divisors, whose sum is σ = 167021718890. Its totient is φ = 167021718888.

The previous prime is 167021718887. The next prime is 167021718923. The reversal of 167021718889 is 988817120761.

167021718889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162409000000 + 4612718889 = 403000^2 + 67917^2 .

It is a cyclic number.

It is not a de Polignac number, because 167021718889 - 21 = 167021718887 is a prime.

It is a super-2 number, since 2×1670217188892 (a number of 23 digits) contains 22 as substring.

Together with 167021718887, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (167021718887) 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, 83510859444 + 83510859445.

It is an arithmetic number, because the mean of its divisors is an integer number (83510859445).

Almost surely, 2167021718889 is an apocalyptic number.

It is an amenable number.

167021718889 is a deficient number, since it is larger than the sum of its proper divisors (1).

167021718889 is an equidigital number, since it uses as much as digits as its factorization.

167021718889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2709504, while the sum is 58.

The spelling of 167021718889 in words is "one hundred sixty-seven billion, twenty-one million, seven hundred eighteen thousand, eight hundred eighty-nine".