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9814000961 is a prime number
BaseRepresentation
bin10010010001111010…
…11100010101000001
3221022221202220102002
421020331130111001
5130044341012321
64301500033345
7465125426462
oct111075342501
927287686362
109814000961
1141868251a6
121a9a832855
13c052c5b7b
14691586d69
153c68bc20b
hex248f5c541

9814000961 has 2 divisors, whose sum is σ = 9814000962. Its totient is φ = 9814000960.

The previous prime is 9814000951. The next prime is 9814001003. The reversal of 9814000961 is 1690004189.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9813874225 + 126736 = 99065^2 + 356^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9814000961 is a prime.

It is a super-2 number, since 2×98140009612 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9814000901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4907000480 + 4907000481.

It is an arithmetic number, because the mean of its divisors is an integer number (4907000481).

Almost surely, 29814000961 is an apocalyptic number.

It is an amenable number.

9814000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

9814000961 is an equidigital number, since it uses as much as digits as its factorization.

9814000961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 9814000961 is about 99065.6396587636. The cubic root of 9814000961 is about 2140.9935818386.

The spelling of 9814000961 in words is "nine billion, eight hundred fourteen million, nine hundred sixty-one", and thus it is an aban number.