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2729421334169 is a prime number
BaseRepresentation
bin100111101101111110001…
…100000110011010011001
3100122221010001202212210022
4213231332030012122121
5324204323330143134
65445513455400225
7401123414355035
oct47557614063231
910587101685708
102729421334169
119625a5207292
12380b91823075
1316a4ca22a28a
149616740b1c5
154aee9ea752e
hex27b7e306699

2729421334169 has 2 divisors, whose sum is σ = 2729421334170. Its totient is φ = 2729421334168.

The previous prime is 2729421334127. The next prime is 2729421334181. The reversal of 2729421334169 is 9614331249272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2563457166400 + 165964167769 = 1601080^2 + 407387^2 .

It is a cyclic number.

It is not a de Polignac number, because 2729421334169 - 224 = 2729404556953 is a prime.

It is a super-2 number, since 2×27294213341692 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2729421334169.

It is not a weakly prime, because it can be changed into another prime (2729421334069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1364710667084 + 1364710667085.

It is an arithmetic number, because the mean of its divisors is an integer number (1364710667085).

Almost surely, 22729421334169 is an apocalyptic number.

It is an amenable number.

2729421334169 is a deficient number, since it is larger than the sum of its proper divisors (1).

2729421334169 is an equidigital number, since it uses as much as digits as its factorization.

2729421334169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3919104, while the sum is 53.

The spelling of 2729421334169 in words is "two trillion, seven hundred twenty-nine billion, four hundred twenty-one million, three hundred thirty-four thousand, one hundred sixty-nine".