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162936705601 is a prime number
BaseRepresentation
bin1001011110111111001…
…0001101001001000001
3120120120100011020202001
42113233302031021001
510132143244034401
6202504015024001
714525503101055
oct2275762151101
9516510136661
10162936705601
116311258258a
12276b320b001
13124987bc847
147c59961c65
1543896cc601
hex25efc8d241

162936705601 has 2 divisors, whose sum is σ = 162936705602. Its totient is φ = 162936705600.

The previous prime is 162936705559. The next prime is 162936705611. The reversal of 162936705601 is 106507639261.

162936705601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156815208001 + 6121497600 = 395999^2 + 78240^2 .

It is a cyclic number.

It is not a de Polignac number, because 162936705601 - 237 = 25497752129 is a prime.

It is not a weakly prime, because it can be changed into another prime (162936705611) 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 as a sum of consecutive naturals, namely, 81468352800 + 81468352801.

It is an arithmetic number, because the mean of its divisors is an integer number (81468352801).

Almost surely, 2162936705601 is an apocalyptic number.

It is an amenable number.

162936705601 is a deficient number, since it is larger than the sum of its proper divisors (1).

162936705601 is an equidigital number, since it uses as much as digits as its factorization.

162936705601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 162936705601 in words is "one hundred sixty-two billion, nine hundred thirty-six million, seven hundred five thousand, six hundred one".