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8400168409 is a prime number
BaseRepresentation
bin1111101001011000…
…00110010111011001
3210200102101202202111
413310230012113121
5114200420342114
63505312432321
7415110152623
oct76454062731
923612352674
108400168409
113620748946
1217652486a1
13a3b413269
145998b3c13
153426e3bc4
hex1f4b065d9

8400168409 has 2 divisors, whose sum is σ = 8400168410. Its totient is φ = 8400168408.

The previous prime is 8400168397. The next prime is 8400168431. The reversal of 8400168409 is 9048610048.

8400168409 is digitally balanced in base 3, 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., 4299687184 + 4100481225 = 65572^2 + 64035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8400168409 is a prime.

It is not a weakly prime, because it can be changed into another prime (8400168479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4200084204 + 4200084205.

It is an arithmetic number, because the mean of its divisors is an integer number (4200084205).

Almost surely, 28400168409 is an apocalyptic number.

It is an amenable number.

8400168409 is a deficient number, since it is larger than the sum of its proper divisors (1).

8400168409 is an equidigital number, since it uses as much as digits as its factorization.

8400168409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 8400168409 is about 91652.4326409288. The cubic root of 8400168409 is about 2032.8062984829.

The spelling of 8400168409 in words is "eight billion, four hundred million, one hundred sixty-eight thousand, four hundred nine".