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7984005121 is a prime number
BaseRepresentation
bin1110110111110001…
…00100000000000001
3202121102022111001101
413123320210000001
5112322401130441
63400124534401
7401564631601
oct73370440001
922542274041
107984005121
113427843244
1216699b1401
139a31329b1
1455a502c01
1531addb231
hex1dbe24001

7984005121 has 2 divisors, whose sum is σ = 7984005122. Its totient is φ = 7984005120.

The previous prime is 7984005101. The next prime is 7984005149. The reversal of 7984005121 is 1215004897.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4181432896 + 3802572225 = 64664^2 + 61665^2 .

It is a cyclic number.

It is not a de Polignac number, because 7984005121 - 25 = 7984005089 is a prime.

It is not a weakly prime, because it can be changed into another prime (7984005101) 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, 3992002560 + 3992002561.

It is an arithmetic number, because the mean of its divisors is an integer number (3992002561).

Almost surely, 27984005121 is an apocalyptic number.

It is an amenable number.

7984005121 is a deficient number, since it is larger than the sum of its proper divisors (1).

7984005121 is an equidigital number, since it uses as much as digits as its factorization.

7984005121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 7984005121 is about 89353.2602706807. The cubic root of 7984005121 is about 1998.6662041087. Note that the first 3 decimals are identical.

The spelling of 7984005121 in words is "seven billion, nine hundred eighty-four million, five thousand, one hundred twenty-one".