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4516414801 is a prime number
BaseRepresentation
bin1000011010011001…
…10000010101010001
3102122202102122101021
410031030300111101
533222200233201
62024054235441
7216630615043
oct41514602521
912582378337
104516414801
111a08442318
12a60655b81
1356c9030c2
1430bb7da93
151b6781ea1
hex10d330551

4516414801 has 2 divisors, whose sum is σ = 4516414802. Its totient is φ = 4516414800.

The previous prime is 4516414783. The next prime is 4516414873. The reversal of 4516414801 is 1084146154.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4459034176 + 57380625 = 66776^2 + 7575^2 .

It is a cyclic number.

It is not a de Polignac number, because 4516414801 - 29 = 4516414289 is a prime.

It is not a weakly prime, because it can be changed into another prime (4516414601) 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, 2258207400 + 2258207401.

It is an arithmetic number, because the mean of its divisors is an integer number (2258207401).

Almost surely, 24516414801 is an apocalyptic number.

It is an amenable number.

4516414801 is a deficient number, since it is larger than the sum of its proper divisors (1).

4516414801 is an equidigital number, since it uses as much as digits as its factorization.

4516414801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 4516414801 is about 67204.2766570700. The cubic root of 4516414801 is about 1652.9686136684.

The spelling of 4516414801 in words is "four billion, five hundred sixteen million, four hundred fourteen thousand, eight hundred one".