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164644430081 is a prime number
BaseRepresentation
bin1001100101010110010…
…0101010000100000001
3120201222100112122022212
42121111210222010001
510144142433230311
6203345301311505
714616020364455
oct2312544520401
9521870478285
10164644430081
116390954122a
1227aab105595
13126ab541cc1
147d7c698665
1544395a9c8b
hex265592a101

164644430081 has 2 divisors, whose sum is σ = 164644430082. Its totient is φ = 164644430080.

The previous prime is 164644430077. The next prime is 164644430101. The reversal of 164644430081 is 180034446461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163572522481 + 1071907600 = 404441^2 + 32740^2 .

It is a cyclic number.

It is not a de Polignac number, because 164644430081 - 22 = 164644430077 is a prime.

It is a super-2 number, since 2×1646444300812 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (164644430021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82322215040 + 82322215041.

It is an arithmetic number, because the mean of its divisors is an integer number (82322215041).

Almost surely, 2164644430081 is an apocalyptic number.

It is an amenable number.

164644430081 is a deficient number, since it is larger than the sum of its proper divisors (1).

164644430081 is an equidigital number, since it uses as much as digits as its factorization.

164644430081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 164644430081 in words is "one hundred sixty-four billion, six hundred forty-four million, four hundred thirty thousand, eighty-one".