Search a number
-
+
45989251541 is a prime number
BaseRepresentation
bin101010110101001011…
…000100100111010101
311101201001220001001122
4222311023010213111
51223141222022131
633043245133325
73215441121362
oct526513044725
9141631801048
1045989251541
111855a808402
128ab585a245
13444bb56b9c
142323bbd469
1512e26e9d7b
hexab52c49d5

45989251541 has 2 divisors, whose sum is σ = 45989251542. Its totient is φ = 45989251540.

The previous prime is 45989251493. The next prime is 45989251549. The reversal of 45989251541 is 14515298954.

45989251541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45245544100 + 743707441 = 212710^2 + 27271^2 .

It is a cyclic number.

It is not a de Polignac number, because 45989251541 - 214 = 45989235157 is a prime.

It is a super-2 number, since 2×459892515412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45989251549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22994625770 + 22994625771.

It is an arithmetic number, because the mean of its divisors is an integer number (22994625771).

Almost surely, 245989251541 is an apocalyptic number.

It is an amenable number.

45989251541 is a deficient number, since it is larger than the sum of its proper divisors (1).

45989251541 is an equidigital number, since it uses as much as digits as its factorization.

45989251541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592000, while the sum is 53.

The spelling of 45989251541 in words is "forty-five billion, nine hundred eighty-nine million, two hundred fifty-one thousand, five hundred forty-one".