Search a number
-
+
246129736169 is a prime number
BaseRepresentation
bin1110010100111001111…
…0011011100111101001
3212112022012112002020102
43211032132123213221
513013033203024134
6305023114235145
723532216144512
oct3451636334751
9775265462212
10246129736169
11954239017a9
123b850425ab5
131a2962c2b55
14bcac7cda09
15660816e37e
hex394e79b9e9

246129736169 has 2 divisors, whose sum is σ = 246129736170. Its totient is φ = 246129736168.

The previous prime is 246129736121. The next prime is 246129736187. The reversal of 246129736169 is 961637921642.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133225000000 + 112904736169 = 365000^2 + 336013^2 .

It is a cyclic number.

It is not a de Polignac number, because 246129736169 - 232 = 241834768873 is a prime.

It is a super-2 number, since 2×2461297361692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (246129736189) 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, 123064868084 + 123064868085.

It is an arithmetic number, because the mean of its divisors is an integer number (123064868085).

Almost surely, 2246129736169 is an apocalyptic number.

It is an amenable number.

246129736169 is a deficient number, since it is larger than the sum of its proper divisors (1).

246129736169 is an equidigital number, since it uses as much as digits as its factorization.

246129736169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5878656, while the sum is 56.

The spelling of 246129736169 in words is "two hundred forty-six billion, one hundred twenty-nine million, seven hundred thirty-six thousand, one hundred sixty-nine".