Search a number
-
+
31948973427089 is a prime number
BaseRepresentation
bin1110100001110101100110…
…01101100100100110010001
311012010021212220001010112102
413100322303031210212101
513141422444144131324
6151541053351410145
76505144226234465
oct720726315444621
9135107786033472
1031948973427089
11a1a8535656424
1236bbb12683955
1314a9a103515c4
147c64a50424a5
153a60ed231dae
hex1d0eb3364991

31948973427089 has 2 divisors, whose sum is σ = 31948973427090. Its totient is φ = 31948973427088.

The previous prime is 31948973427073. The next prime is 31948973427113. The reversal of 31948973427089 is 98072437984913.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17281413896464 + 14667559530625 = 4157092^2 + 3829825^2 .

It is a cyclic number.

It is not a de Polignac number, because 31948973427089 - 24 = 31948973427073 is a prime.

It is not a weakly prime, because it can be changed into another prime (31948973423089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15974486713544 + 15974486713545.

It is an arithmetic number, because the mean of its divisors is an integer number (15974486713545).

Almost surely, 231948973427089 is an apocalyptic number.

It is an amenable number.

31948973427089 is a deficient number, since it is larger than the sum of its proper divisors (1).

31948973427089 is an equidigital number, since it uses as much as digits as its factorization.

31948973427089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 658409472, while the sum is 74.

The spelling of 31948973427089 in words is "thirty-one trillion, nine hundred forty-eight billion, nine hundred seventy-three million, four hundred twenty-seven thousand, eighty-nine".