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164433606401 is a prime number
BaseRepresentation
bin1001100100100100000…
…0011011011100000001
3120201102122211200121102
42121021000123130001
510143230000401101
6203312330504145
714610550410251
oct2311100333401
9521378750542
10164433606401
1163810536289
1227a50595055
131267696826c
147d5c699961
154425d1386b
hex264901b701

164433606401 has 2 divisors, whose sum is σ = 164433606402. Its totient is φ = 164433606400.

The previous prime is 164433606397. The next prime is 164433606509. The reversal of 164433606401 is 104606334461.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99856632001 + 64576974400 = 316001^2 + 254120^2 .

It is an emirp because it is prime and its reverse (104606334461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164433606401 - 22 = 164433606397 is a prime.

It is a super-3 number, since 3×1644336064013 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (164433636401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82216803200 + 82216803201.

It is an arithmetic number, because the mean of its divisors is an integer number (82216803201).

Almost surely, 2164433606401 is an apocalyptic number.

It is an amenable number.

164433606401 is a deficient number, since it is larger than the sum of its proper divisors (1).

164433606401 is an equidigital number, since it uses as much as digits as its factorization.

164433606401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 164433606401 in words is "one hundred sixty-four billion, four hundred thirty-three million, six hundred six thousand, four hundred one".