Search a number
-
+
540173835077 is a prime number
BaseRepresentation
bin1111101110001001101…
…11101001101101000101
31220122021122100222122012
413313010313221231011
532322234000210302
61052052531544005
754012003561062
oct7670467515505
91818248328565
10540173835077
111990a5058398
128883315b005
133bc27226116
141c204921c69
15e0b7a06a52
hex7dc4de9b45

540173835077 has 2 divisors, whose sum is σ = 540173835078. Its totient is φ = 540173835076.

The previous prime is 540173835053. The next prime is 540173835079. The reversal of 540173835077 is 770538371045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 362826727201 + 177347107876 = 602351^2 + 421126^2 .

It is a cyclic number.

It is not a de Polignac number, because 540173835077 - 212 = 540173830981 is a prime.

Together with 540173835079, 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 (540173835079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270086917538 + 270086917539.

It is an arithmetic number, because the mean of its divisors is an integer number (270086917539).

Almost surely, 2540173835077 is an apocalyptic number.

It is an amenable number.

540173835077 is a deficient number, since it is larger than the sum of its proper divisors (1).

540173835077 is an equidigital number, since it uses as much as digits as its factorization.

540173835077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2469600, while the sum is 50.

The spelling of 540173835077 in words is "five hundred forty billion, one hundred seventy-three million, eight hundred thirty-five thousand, seventy-seven".