Search a number
-
+
34553524541 is a prime number
BaseRepresentation
bin100000001011100011…
…001111000100111101
310022012002112220202012
4200023203033010331
51031231200241131
623512413541005
72332161053414
oct401343170475
9108162486665
1034553524541
1113721622458
126843aa4765
13334888c313
14195b0c847b
15d7378b52b
hex80b8cf13d

34553524541 has 2 divisors, whose sum is σ = 34553524542. Its totient is φ = 34553524540.

The previous prime is 34553524483. The next prime is 34553524543. The reversal of 34553524541 is 14542535543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33116356441 + 1437168100 = 181979^2 + 37910^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34553524541 is a prime.

Together with 34553524543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34553524543) 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, 17276762270 + 17276762271.

It is an arithmetic number, because the mean of its divisors is an integer number (17276762271).

Almost surely, 234553524541 is an apocalyptic number.

It is an amenable number.

34553524541 is a deficient number, since it is larger than the sum of its proper divisors (1).

34553524541 is an equidigital number, since it uses as much as digits as its factorization.

34553524541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720000, while the sum is 41.

The spelling of 34553524541 in words is "thirty-four billion, five hundred fifty-three million, five hundred twenty-four thousand, five hundred forty-one".