Search a number
-
+
290727566417 is a prime number
BaseRepresentation
bin1000011101100001011…
…01101001110001010001
31000210102022012121010002
410032300231221301101
514230402224111132
6341320340415345
730001333353311
oct4166055516121
91023368177102
10290727566417
1110232a14a752
12484180a7555
1321552ab2c12
14100dd891441
15786861b262
hex43b0b69c51

290727566417 has 2 divisors, whose sum is σ = 290727566418. Its totient is φ = 290727566416.

The previous prime is 290727566411. The next prime is 290727566461. The reversal of 290727566417 is 714665727092.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216626015761 + 74101550656 = 465431^2 + 272216^2 .

It is a cyclic number.

It is not a de Polignac number, because 290727566417 - 226 = 290660457553 is a prime.

It is a super-2 number, since 2×2907275664172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (290727566411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 145363783208 + 145363783209.

It is an arithmetic number, because the mean of its divisors is an integer number (145363783209).

Almost surely, 2290727566417 is an apocalyptic number.

It is an amenable number.

290727566417 is a deficient number, since it is larger than the sum of its proper divisors (1).

290727566417 is an equidigital number, since it uses as much as digits as its factorization.

290727566417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8890560, while the sum is 56.

The spelling of 290727566417 in words is "two hundred ninety billion, seven hundred twenty-seven million, five hundred sixty-six thousand, four hundred seventeen".