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9000248893 is a prime number
BaseRepresentation
bin10000110000111010…
…01110011000111101
3212020020120000102121
420120131032120331
5121413030431033
64045030322541
7436014565456
oct103035163075
925206500377
109000248893
1138a9451229
1218b21b9451
13b0583967c
1461547c12d
1537a22a62d
hex21874e63d

9000248893 has 2 divisors, whose sum is σ = 9000248894. Its totient is φ = 9000248892.

The previous prime is 9000248867. The next prime is 9000248897. The reversal of 9000248893 is 3988420009.

It is a happy number.

9000248893 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., 8013472324 + 986776569 = 89518^2 + 31413^2 .

It is a cyclic number.

It is not a de Polignac number, because 9000248893 - 225 = 8966694461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9000248897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4500124446 + 4500124447.

It is an arithmetic number, because the mean of its divisors is an integer number (4500124447).

Almost surely, 29000248893 is an apocalyptic number.

It is an amenable number.

9000248893 is a deficient number, since it is larger than the sum of its proper divisors (1).

9000248893 is an equidigital number, since it uses as much as digits as its factorization.

9000248893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 9000248893 is about 94869.6415772717. The cubic root of 9000248893 is about 2080.1029976271.

The spelling of 9000248893 in words is "nine billion, two hundred forty-eight thousand, eight hundred ninety-three".