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164145470337 = 3241444838673
BaseRepresentation
bin1001100011011111010…
…1010001101110000001
3120200200120122212020100
42120313311101232001
510142132220022322
6203223555033013
714600451322362
oct2306765215601
9520616585210
10164145470337
1163682925402
122798bb9b769
131262c062554
147d322d3b69
15440a899dac
hex2637d51b81

164145470337 has 12 divisors (see below), whose sum is σ = 242881916004. Its totient is φ = 106761281280.

The previous prime is 164145470311. The next prime is 164145470371. The reversal of 164145470337 is 733074541461.

164145470337 is a `hidden beast` number, since 1 + 6 + 4 + 145 + 470 + 3 + 37 = 666.

164145470337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32489702001 + 131655768336 = 180249^2 + 362844^2 .

It is not a de Polignac number, because 164145470337 - 26 = 164145470273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164145470292 and 164145470301.

It is not an unprimeable number, because it can be changed into a prime (164145490337) 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 in 11 ways as a sum of consecutive naturals, for example, 222418968 + ... + 222419705.

It is an arithmetic number, because the mean of its divisors is an integer number (20240159667).

Almost surely, 2164145470337 is an apocalyptic number.

It is an amenable number.

164145470337 is a deficient number, since it is larger than the sum of its proper divisors (78736445667).

164145470337 is a wasteful number, since it uses less digits than its factorization.

164145470337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444838720 (or 444838717 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 164145470337 in words is "one hundred sixty-four billion, one hundred forty-five million, four hundred seventy thousand, three hundred thirty-seven".

Divisors: 1 3 9 41 123 369 444838673 1334516019 4003548057 18238385593 54715156779 164145470337