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164441521341 = 3218271280149
BaseRepresentation
bin1001100100100101111…
…0100111110010111101
3120201110012201210212100
42121021132213302331
510143234012140331
6203313212255313
714611004604006
oct2311136476275
9521405653770
10164441521341
1163814a51959
1227a53171539
13126784a9a66
147d5d75a1ad
154426878ae6
hex26497a7cbd

164441521341 has 6 divisors (see below), whose sum is σ = 237526641950. Its totient is φ = 109627680888.

The previous prime is 164441521319. The next prime is 164441521351. The reversal of 164441521341 is 143125144461.

164441521341 is a `hidden beast` number, since 1 + 64 + 4 + 41 + 521 + 34 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129837708900 + 34603812441 = 360330^2 + 186021^2 .

It is not a de Polignac number, because 164441521341 - 210 = 164441520317 is a prime.

It is a super-3 number, since 3×1644415213413 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164441521296 and 164441521305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164441521301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9135640066 + ... + 9135640083.

Almost surely, 2164441521341 is an apocalyptic number.

It is an amenable number.

164441521341 is a deficient number, since it is larger than the sum of its proper divisors (73085120609).

164441521341 is a wasteful number, since it uses less digits than its factorization.

164441521341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18271280155 (or 18271280152 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 164441521341 in words is "one hundred sixty-four billion, four hundred forty-one million, five hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 3 9 18271280149 54813840447 164441521341