Search a number
-
+
37231461361 is a prime number
BaseRepresentation
bin100010101011001010…
…110000001111110001
310120002201120012110101
4202223022300033301
51102222223230421
625034235232401
72455426125403
oct425312601761
9116081505411
1037231461361
1114876209a86
1272708a8701
13368461c513
141b32a16b73
15e7d914191
hex8ab2b03f1

37231461361 has 2 divisors, whose sum is σ = 37231461362. Its totient is φ = 37231461360.

The previous prime is 37231461349. The next prime is 37231461437. The reversal of 37231461361 is 16316413273.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29388587761 + 7842873600 = 171431^2 + 88560^2 .

It is a cyclic number.

It is not a de Polignac number, because 37231461361 - 213 = 37231453169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37231461361.

It is not a weakly prime, because it can be changed into another prime (37231461341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18615730680 + 18615730681.

It is an arithmetic number, because the mean of its divisors is an integer number (18615730681).

Almost surely, 237231461361 is an apocalyptic number.

It is an amenable number.

37231461361 is a deficient number, since it is larger than the sum of its proper divisors (1).

37231461361 is an equidigital number, since it uses as much as digits as its factorization.

37231461361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 37.

The spelling of 37231461361 in words is "thirty-seven billion, two hundred thirty-one million, four hundred sixty-one thousand, three hundred sixty-one".