Search a number
-
+
2729261907181 is a prime number
BaseRepresentation
bin100111101101110100101…
…011111011110011101101
3100122220200221210011002001
4213231310223323303231
5324204012022012211
65445450002332301
7401116440303235
oct47556453736355
910586627704061
102729261907181
11962523216447
12380b4835a091
1316a4a31aa594
149615018acc5
154aedaeb4ac1
hex27b74afbced

2729261907181 has 2 divisors, whose sum is σ = 2729261907182. Its totient is φ = 2729261907180.

The previous prime is 2729261907107. The next prime is 2729261907191. The reversal of 2729261907181 is 1817091629272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1777798222281 + 951463684900 = 1333341^2 + 975430^2 .

It is a cyclic number.

It is not a de Polignac number, because 2729261907181 - 215 = 2729261874413 is a prime.

It is a super-2 number, since 2×27292619071812 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2729261907191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1364630953590 + 1364630953591.

It is an arithmetic number, because the mean of its divisors is an integer number (1364630953591).

Almost surely, 22729261907181 is an apocalyptic number.

It is an amenable number.

2729261907181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2729261907181 is an equidigital number, since it uses as much as digits as its factorization.

2729261907181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1524096, while the sum is 55.

The spelling of 2729261907181 in words is "two trillion, seven hundred twenty-nine billion, two hundred sixty-one million, nine hundred seven thousand, one hundred eighty-one".