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164610322401 = 3719974253167
BaseRepresentation
bin1001100101001110001…
…0100010111111100001
3120201212222100210101110
42121103202202333201
510144110220304101
6203342042253533
714615124440250
oct2312342427741
9521788323343
10164610322401
11638a1265668
1227a9b7b72a9
13126a445c445
147d77d3a797
1544365bdcd6
hex26538a2fe1

164610322401 has 32 divisors (see below), whose sum is σ = 266758696960. Its totient is φ = 88193650176.

The previous prime is 164610322391. The next prime is 164610322403. The reversal of 164610322401 is 104223016461.

164610322401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164610322401 - 26 = 164610322337 is a prime.

It is a super-2 number, since 2×1646103224012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164610322403) 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 31 ways as a sum of consecutive naturals, for example, 2087881 + ... + 2165286.

It is an arithmetic number, because the mean of its divisors is an integer number (8336209280).

Almost surely, 2164610322401 is an apocalyptic number.

It is an amenable number.

164610322401 is a deficient number, since it is larger than the sum of its proper divisors (102148374559).

164610322401 is a wasteful number, since it uses less digits than its factorization.

164610322401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253293.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 164610322401 its reverse (104223016461), we get a palindrome (268833338862).

The spelling of 164610322401 in words is "one hundred sixty-four billion, six hundred ten million, three hundred twenty-two thousand, four hundred one".

Divisors: 1 3 7 19 21 57 97 133 291 399 679 1843 2037 5529 12901 38703 4253167 12759501 29772169 80810173 89316507 242430519 412557199 565671211 1237671597 1697013633 2887900393 7838586781 8663701179 23515760343 54870107467 164610322401