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9105408001 is a prime number
BaseRepresentation
bin10000111101011100…
…11000000000000001
3212111120102122121101
420132232120000001
5122121441024001
64103304254401
7441432456004
oct103656300001
925446378541
109105408001
113952846888
121921471401
13b215684b1
1462541353b
1538459da01
hex21eb98001

9105408001 has 2 divisors, whose sum is σ = 9105408002. Its totient is φ = 9105408000.

The previous prime is 9105407951. The next prime is 9105408007. The reversal of 9105408001 is 1008045019.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8941593600 + 163814401 = 94560^2 + 12799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9105408001 is a prime.

It is not a weakly prime, because it can be changed into another prime (9105408007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4552704000 + 4552704001.

It is an arithmetic number, because the mean of its divisors is an integer number (4552704001).

Almost surely, 29105408001 is an apocalyptic number.

It is an amenable number.

9105408001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9105408001 is an equidigital number, since it uses as much as digits as its factorization.

9105408001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 9105408001 is about 95422.2615588207. The cubic root of 9105408001 is about 2088.1729720507.

The spelling of 9105408001 in words is "nine billion, one hundred five million, four hundred eight thousand, one".