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8405435993 is a prime number
BaseRepresentation
bin1111101010000000…
…01100011001011001
3210200210022101112012
413311000030121121
5114203242422433
63510021355305
7415203012203
oct76500143131
923623271465
108405435993
113623716519
121766b68b35
13a3c538a86
1459a485773
15342dd4848
hex1f500c659

8405435993 has 2 divisors, whose sum is σ = 8405435994. Its totient is φ = 8405435992.

The previous prime is 8405435971. The next prime is 8405436001. The reversal of 8405435993 is 3995345048.

It is a happy number.

8405435993 is digitally balanced in base 3, 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., 4589656009 + 3815779984 = 67747^2 + 61772^2 .

It is a cyclic number.

It is not a de Polignac number, because 8405435993 - 214 = 8405419609 is a prime.

It is not a weakly prime, because it can be changed into another prime (8405435933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4202717996 + 4202717997.

It is an arithmetic number, because the mean of its divisors is an integer number (4202717997).

Almost surely, 28405435993 is an apocalyptic number.

It is an amenable number.

8405435993 is a deficient number, since it is larger than the sum of its proper divisors (1).

8405435993 is an equidigital number, since it uses as much as digits as its factorization.

8405435993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2332800, while the sum is 50.

The square root of 8405435993 is about 91681.1648758893. The cubic root of 8405435993 is about 2033.2311209363.

The spelling of 8405435993 in words is "eight billion, four hundred five million, four hundred thirty-five thousand, nine hundred ninety-three".