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9953948801 is a prime number
BaseRepresentation
bin10010100010100110…
…10011010010000001
3221200201002222202102
421101103103102001
5130341202330201
64323415400145
7501445111616
oct112123232201
927621088672
109953948801
114248821075
121b19683055
13c282b5544
146a5db650d
153d3d1326b
hex2514d3481

9953948801 has 2 divisors, whose sum is σ = 9953948802. Its totient is φ = 9953948800.

The previous prime is 9953948713. The next prime is 9953948819. The reversal of 9953948801 is 1088493599.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7286329600 + 2667619201 = 85360^2 + 51649^2 .

It is an emirp because it is prime and its reverse (1088493599) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9953948801 is a prime.

It is not a weakly prime, because it can be changed into another prime (9953948821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4976974400 + 4976974401.

It is an arithmetic number, because the mean of its divisors is an integer number (4976974401).

Almost surely, 29953948801 is an apocalyptic number.

It is an amenable number.

9953948801 is a deficient number, since it is larger than the sum of its proper divisors (1).

9953948801 is an equidigital number, since it uses as much as digits as its factorization.

9953948801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 56.

The square root of 9953948801 is about 99769.4783037378. The cubic root of 9953948801 is about 2151.1224570519.

The spelling of 9953948801 in words is "nine billion, nine hundred fifty-three million, nine hundred forty-eight thousand, eight hundred one".