Search a number
-
+
164435543029 is a prime number
BaseRepresentation
bin1001100100100100011…
…1110100001111110101
3120201102210111002011101
42121021013310033311
510143230444334104
6203312440210101
714610603024352
oct2311107641765
9521383432141
10164435543029
11638116392aa
1227a51169931
13126771958b4
147d5ca41629
1544260975a4
hex26491f43f5

164435543029 has 2 divisors, whose sum is σ = 164435543030. Its totient is φ = 164435543028.

The previous prime is 164435543023. The next prime is 164435543081. The reversal of 164435543029 is 920345534461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143169154129 + 21266388900 = 378377^2 + 145830^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164435543029 is a prime.

It is a super-3 number, since 3×1644355430293 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 164435543029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164435543023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82217771514 + 82217771515.

It is an arithmetic number, because the mean of its divisors is an integer number (82217771515).

Almost surely, 2164435543029 is an apocalyptic number.

It is an amenable number.

164435543029 is a deficient number, since it is larger than the sum of its proper divisors (1).

164435543029 is an equidigital number, since it uses as much as digits as its factorization.

164435543029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 164435543029 in words is "one hundred sixty-four billion, four hundred thirty-five million, five hundred forty-three thousand, twenty-nine".