Search a number
-
+
288048384747377 is a prime number
BaseRepresentation
bin100000101111110100111110…
…1101001101010011101110001
31101202220011020012022022122022
41001133221331221222131301
5300223341042443404002
62500343333503121225
7114446544333143012
oct10137517551523561
91352804205268568
10288048384747377
11838656a7869551
12283818592a3215
13c495accc3b887
14511b88ac43009
152347bed5beba2
hex105fa7da6a771

288048384747377 has 2 divisors, whose sum is σ = 288048384747378. Its totient is φ = 288048384747376.

The previous prime is 288048384747313. The next prime is 288048384747439. The reversal of 288048384747377 is 773747483840882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231500150486641 + 56548234260736 = 15215129^2 + 7519856^2 .

It is a cyclic number.

It is not a de Polignac number, because 288048384747377 - 26 = 288048384747313 is a prime.

It is a super-2 number, since 2×2880483847473772 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (282048384747377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144024192373688 + 144024192373689.

It is an arithmetic number, because the mean of its divisors is an integer number (144024192373689).

Almost surely, 2288048384747377 is an apocalyptic number.

It is an amenable number.

288048384747377 is a deficient number, since it is larger than the sum of its proper divisors (1).

288048384747377 is an equidigital number, since it uses as much as digits as its factorization.

288048384747377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11329339392, while the sum is 80.

The spelling of 288048384747377 in words is "two hundred eighty-eight trillion, forty-eight billion, three hundred eighty-four million, seven hundred forty-seven thousand, three hundred seventy-seven".