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164443204665 = 3253654293437
BaseRepresentation
bin1001100100100110010…
…1000010110000111001
3120201110022220022221200
42121021211002300321
510143234430022130
6203313312324413
714611025114445
oct2311145026071
9521408808850
10164443204665
11638159a1633
1227a53843709
1312678948ccc
147d5da77825
154426aac760
hex2649942c39

164443204665 has 12 divisors (see below), whose sum is σ = 285034888164. Its totient is φ = 87703042464.

The previous prime is 164443204619. The next prime is 164443204693. The reversal of 164443204665 is 566402344461.

164443204665 is a `hidden beast` number, since 164 + 4 + 4 + 3 + 20 + 466 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67172198976 + 97271005689 = 259176^2 + 311883^2 .

It is not a de Polignac number, because 164443204665 - 211 = 164443202617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3654293437 = 164443204665 / (1 + 6 + 4 + 4 + 4 + 3 + 2 + 0 + 4 + 6 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164443204665.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1827146674 + ... + 1827146763.

It is an arithmetic number, because the mean of its divisors is an integer number (23752907347).

Almost surely, 2164443204665 is an apocalyptic number.

164443204665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164443204665 is a deficient number, since it is larger than the sum of its proper divisors (120591683499).

164443204665 is a wasteful number, since it uses less digits than its factorization.

164443204665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654293448 (or 3654293445 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 164443204665 in words is "one hundred sixty-four billion, four hundred forty-three million, two hundred four thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 3654293437 10962880311 18271467185 32888640933 54814401555 164443204665