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9916358401 is a prime number
BaseRepresentation
bin10010011110000111…
…11001111100000001
3221121002101012102101
421033003321330001
5130302041432101
64315553550401
7500510440615
oct111703717401
927532335371
109916358401
114229586924
121b08b75401
13c205836c1
146a0dcd345
153d088a401
hex24f0f9f01

9916358401 has 2 divisors, whose sum is σ = 9916358402. Its totient is φ = 9916358400.

The previous prime is 9916358369. The next prime is 9916358407. The reversal of 9916358401 is 1048536199.

9916358401 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., 9389610000 + 526748401 = 96900^2 + 22951^2 .

It is a cyclic number.

It is not a de Polignac number, because 9916358401 - 25 = 9916358369 is a prime.

It is not a weakly prime, because it can be changed into another prime (9916358407) 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, 4958179200 + 4958179201.

It is an arithmetic number, because the mean of its divisors is an integer number (4958179201).

Almost surely, 29916358401 is an apocalyptic number.

It is an amenable number.

9916358401 is a deficient number, since it is larger than the sum of its proper divisors (1).

9916358401 is an equidigital number, since it uses as much as digits as its factorization.

9916358401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 46.

The square root of 9916358401 is about 99580.9138389481. The cubic root of 9916358401 is about 2148.4111860887.

The spelling of 9916358401 in words is "nine billion, nine hundred sixteen million, three hundred fifty-eight thousand, four hundred one".