Search a number
-
+
164434204600597 is a prime number
BaseRepresentation
bin100101011000110101010010…
…010110101010100100010101
3210120012202102102221212021001
4211120311102112222210111
5133023042222334204342
61341420010350423301
746430656610405551
oct4530652226524425
9716182372855231
10164434204600597
11484371777849a8
121653854a501b31
13709a104620019
142c8692d668861
15140249ea3c8b7
hex958d525aa915

164434204600597 has 2 divisors, whose sum is σ = 164434204600598. Its totient is φ = 164434204600596.

The previous prime is 164434204600531. The next prime is 164434204600609. The reversal of 164434204600597 is 795006402434461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164219329706481 + 214874894116 = 12814809^2 + 463546^2 .

It is a cyclic number.

It is not a de Polignac number, because 164434204600597 - 211 = 164434204598549 is a prime.

It is a super-3 number, since 3×1644342046005973 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164434204600517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82217102300298 + 82217102300299.

It is an arithmetic number, because the mean of its divisors is an integer number (82217102300299).

Almost surely, 2164434204600597 is an apocalyptic number.

It is an amenable number.

164434204600597 is a deficient number, since it is larger than the sum of its proper divisors (1).

164434204600597 is an equidigital number, since it uses as much as digits as its factorization.

164434204600597 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 164434204600597 in words is "one hundred sixty-four trillion, four hundred thirty-four billion, two hundred four million, six hundred thousand, five hundred ninety-seven".