Search a number
-
+
203862415825249 is a prime number
BaseRepresentation
bin101110010110100101101010…
…111000001101100101100001
3222201211001112021102111222121
4232112211222320031211201
5203210040211422401444
62001325033445104241
760640400465165626
oct5626455270154541
9881731467374877
10203862415825249
1159a58624062075
121aa45a9a6b8081
13899a1b2b6240c
14384adca51434d
151887de1478084
hexb9696ae0d961

203862415825249 has 2 divisors, whose sum is σ = 203862415825250. Its totient is φ = 203862415825248.

The previous prime is 203862415825099. The next prime is 203862415825307. The reversal of 203862415825249 is 942528514268302.

203862415825249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112929027015249 + 90933388810000 = 10626807^2 + 9535900^2 .

It is a cyclic number.

It is not a de Polignac number, because 203862415825249 - 219 = 203862415300961 is a prime.

It is a super-2 number, since 2×2038624158252492 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (203862415822249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101931207912624 + 101931207912625.

It is an arithmetic number, because the mean of its divisors is an integer number (101931207912625).

Almost surely, 2203862415825249 is an apocalyptic number.

It is an amenable number.

203862415825249 is a deficient number, since it is larger than the sum of its proper divisors (1).

203862415825249 is an equidigital number, since it uses as much as digits as its factorization.

203862415825249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 66355200, while the sum is 61.

The spelling of 203862415825249 in words is "two hundred three trillion, eight hundred sixty-two billion, four hundred fifteen million, eight hundred twenty-five thousand, two hundred forty-nine".