Search a number
-
+
1827743831129 is a prime number
BaseRepresentation
bin11010100110001110000…
…001011001010001011001
320110201201121110210222202
4122212032001121101121
5214421204410044004
63515353125255545
7246023124141056
oct32461601312131
96421647423882
101827743831129
1164516181a647
1225628b8645b5
13103481070728
146466b31802d
153282556cb1e
hex1a98e059459

1827743831129 has 2 divisors, whose sum is σ = 1827743831130. Its totient is φ = 1827743831128.

The previous prime is 1827743830993. The next prime is 1827743831141. The reversal of 1827743831129 is 9211383477281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1812652937104 + 15090894025 = 1346348^2 + 122845^2 .

It is a cyclic number.

It is not a de Polignac number, because 1827743831129 - 212 = 1827743827033 is a prime.

It is a super-2 number, since 2×18277438311292 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1827743831159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 913871915564 + 913871915565.

It is an arithmetic number, because the mean of its divisors is an integer number (913871915565).

Almost surely, 21827743831129 is an apocalyptic number.

It is an amenable number.

1827743831129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1827743831129 is an equidigital number, since it uses as much as digits as its factorization.

1827743831129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4064256, while the sum is 56.

The spelling of 1827743831129 in words is "one trillion, eight hundred twenty-seven billion, seven hundred forty-three million, eight hundred thirty-one thousand, one hundred twenty-nine".