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9984000953 is a prime number
BaseRepresentation
bin10010100110001011…
…11100001110111001
3221202210122210120002
421103011330032321
5130421401012303
64330411442345
7502261415333
oct112305741671
927683583502
109984000953
114263787763
121b277563b5
13c315a8194
146a9d9a453
153d679c788
hex25317c3b9

9984000953 has 2 divisors, whose sum is σ = 9984000954. Its totient is φ = 9984000952.

The previous prime is 9984000947. The next prime is 9984000959. The reversal of 9984000953 is 3590004899.

It is a balanced prime because it is at equal distance from previous prime (9984000947) and next prime (9984000959).

It can be written as a sum of positive squares in only one way, i.e., 9486175609 + 497825344 = 97397^2 + 22312^2 .

It is a cyclic number.

It is not a de Polignac number, because 9984000953 - 24 = 9984000937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9984000898 and 9984000907.

It is not a weakly prime, because it can be changed into another prime (9984000959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4992000476 + 4992000477.

It is an arithmetic number, because the mean of its divisors is an integer number (4992000477).

Almost surely, 29984000953 is an apocalyptic number.

It is an amenable number.

9984000953 is a deficient number, since it is larger than the sum of its proper divisors (1).

9984000953 is an equidigital number, since it uses as much as digits as its factorization.

9984000953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 349920, while the sum is 47.

The square root of 9984000953 is about 99919.9727431908. The cubic root of 9984000953 is about 2153.2851133472.

The spelling of 9984000953 in words is "nine billion, nine hundred eighty-four million, nine hundred fifty-three", and thus it is an aban number.