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9879408001 is a prime number
BaseRepresentation
bin10010011001101101…
…11100110110000001
3221111111211221000001
421030312330312001
5130213112024001
64312154000001
7466551403531
oct111466746601
927444757001
109879408001
11420a739501
121ab8716001
13c15a16c68
1469a1314c1
153cc4dc001
hex24cdbcd81

9879408001 has 2 divisors, whose sum is σ = 9879408002. Its totient is φ = 9879408000.

The previous prime is 9879407983. The next prime is 9879408023. The reversal of 9879408001 is 1008049789.

It is a happy number.

9879408001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9717227776 + 162180225 = 98576^2 + 12735^2 .

It is a cyclic number.

It is not a de Polignac number, because 9879408001 - 211 = 9879405953 is a prime.

It is not a weakly prime, because it can be changed into another prime (9879408031) 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, 4939704000 + 4939704001.

It is an arithmetic number, because the mean of its divisors is an integer number (4939704001).

Almost surely, 29879408001 is an apocalyptic number.

It is an amenable number.

9879408001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9879408001 is an equidigital number, since it uses as much as digits as its factorization.

9879408001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 9879408001 is about 99395.2111572786. The cubic root of 9879408001 is about 2145.7393901428.

The spelling of 9879408001 in words is "nine billion, eight hundred seventy-nine million, four hundred eight thousand, one".