Search a number
-
+
306817634689 is a prime number
BaseRepresentation
bin1000111011011111100…
…00011001000110000001
31002022221122111202100121
410131233300121012001
520011330303302224
6352541114420241
731111140602326
oct4355760310601
91068848452317
10306817634689
11109136613135
124b568731681
1322c18413187
1410bc878ab4d
157eaaea3be4
hex476fc19181

306817634689 has 2 divisors, whose sum is σ = 306817634690. Its totient is φ = 306817634688.

The previous prime is 306817634609. The next prime is 306817634777. The reversal of 306817634689 is 986436718603.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216206400400 + 90611234289 = 464980^2 + 301017^2 .

It is a cyclic number.

It is not a de Polignac number, because 306817634689 - 217 = 306817503617 is a prime.

It is a super-2 number, since 2×3068176346892 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (306817634609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 153408817344 + 153408817345.

It is an arithmetic number, because the mean of its divisors is an integer number (153408817345).

Almost surely, 2306817634689 is an apocalyptic number.

It is an amenable number.

306817634689 is a deficient number, since it is larger than the sum of its proper divisors (1).

306817634689 is an equidigital number, since it uses as much as digits as its factorization.

306817634689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 306817634689 in words is "three hundred six billion, eight hundred seventeen million, six hundred thirty-four thousand, six hundred eighty-nine".