Search a number
-
+
6838581521 is a prime number
BaseRepresentation
bin1100101111001110…
…00111100100010001
3122122120222221021002
412113213013210101
5103001134102041
63050330311345
7331315661312
oct62747074421
918576887232
106838581521
11299a223572
1213aa288555
1384ca39955
1448c33c609
152a058159b
hex1979c7911

6838581521 has 2 divisors, whose sum is σ = 6838581522. Its totient is φ = 6838581520.

The previous prime is 6838581481. The next prime is 6838581557. The reversal of 6838581521 is 1251858386.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3989690896 + 2848890625 = 63164^2 + 53375^2 .

It is a cyclic number.

It is not a de Polignac number, because 6838581521 - 26 = 6838581457 is a prime.

It is not a weakly prime, because it can be changed into another prime (6838581571) 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, 3419290760 + 3419290761.

It is an arithmetic number, because the mean of its divisors is an integer number (3419290761).

Almost surely, 26838581521 is an apocalyptic number.

It is an amenable number.

6838581521 is a deficient number, since it is larger than the sum of its proper divisors (1).

6838581521 is an equidigital number, since it uses as much as digits as its factorization.

6838581521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 460800, while the sum is 47.

The square root of 6838581521 is about 82695.7164610114. The cubic root of 6838581521 is about 1898.1127632729.

The spelling of 6838581521 in words is "six billion, eight hundred thirty-eight million, five hundred eighty-one thousand, five hundred twenty-one".