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2147668993 is a prime number
BaseRepresentation
bin1000000000000010…
…1101010000000001
312112200012220000001
42000000231100001
513344300401433
6553040000001
7104135612431
oct20000552001
95480186001
102147668993
11a02337558
124bb300001
13282c3b272
141653382c1
15c883157d
hex8002d401

2147668993 has 2 divisors, whose sum is σ = 2147668994. Its totient is φ = 2147668992.

The previous prime is 2147668969. The next prime is 2147669003. The reversal of 2147668993 is 3998667412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1816720129 + 330948864 = 42623^2 + 18192^2 .

It is a cyclic number.

It is not a de Polignac number, because 2147668993 - 25 = 2147668961 is a prime.

It is a super-2 number, since 2×21476689932 = 9224964206987268098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2147468993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1073834496 + 1073834497.

It is an arithmetic number, because the mean of its divisors is an integer number (1073834497).

Almost surely, 22147668993 is an apocalyptic number.

It is an amenable number.

2147668993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2147668993 is an equidigital number, since it uses as much as digits as its factorization.

2147668993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3919104, while the sum is 55.

The square root of 2147668993 is about 46342.9497658490. The cubic root of 2147668993 is about 1290.1962710396.

The spelling of 2147668993 in words is "two billion, one hundred forty-seven million, six hundred sixty-eight thousand, nine hundred ninety-three".