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164341862881 = 7229219972
BaseRepresentation
bin1001100100001110001…
…0011101000111100001
3120201012021012122011021
42121003202131013201
510143033004103011
6203255252245441
714605354533400
oct2310342350741
9521167178137
10164341862881
1163773773a99
1227a25910881
1312660955861
147d50417637
15441cc40471
hex264389d1e1

164341862881 has 27 divisors (see below), whose sum is σ = 198091877529. Its totient is φ = 135938953248.

The previous prime is 164341862869. The next prime is 164341862887. The reversal of 164341862881 is 188268143461.

The square root of 164341862881 is 405391.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 52796550625 + 111545312256 = 229775^2 + 333984^2 .

It is not a de Polignac number, because 164341862881 - 25 = 164341862849 is a prime.

It is a super-2 number, since 2×1643418628812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164341862887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82293375 + ... + 82295371.

Almost surely, 2164341862881 is an apocalyptic number.

164341862881 is the 405391-st square number.

164341862881 is the 202696-th centered octagonal number.

It is an amenable number.

164341862881 is a deficient number, since it is larger than the sum of its proper divisors (33750014648).

164341862881 is an frugal number, since it uses more digits than its factorization.

164341862881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 2033 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 52.

The spelling of 164341862881 in words is "one hundred sixty-four billion, three hundred forty-one million, eight hundred sixty-two thousand, eight hundred eighty-one".

Divisors: 1 7 29 49 203 841 1421 1997 5887 13979 41209 57913 97853 405391 1679477 2837737 3988009 11756339 27916063 82294373 115652261 195412441 809565827 3353915569 5666960789 23477408983 164341862881