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2478397993 is a prime number
BaseRepresentation
bin1001001110111001…
…0101101000101001
320101201112122220021
42103232111220221
520033432213433
61045532400441
7115263015061
oct22356255051
96351478807
102478397993
111061a9a105
12592016121
13306607ab6
1419722a3a1
15e78b022d
hex93b95a29

2478397993 has 2 divisors, whose sum is σ = 2478397994. Its totient is φ = 2478397992.

The previous prime is 2478397963. The next prime is 2478398003. The reversal of 2478397993 is 3997938742.

2478397993 is digitally balanced in base 2, 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., 1716196329 + 762201664 = 41427^2 + 27608^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2478397993 is a prime.

It is a super-2 number, since 2×24783979932 = 12284913223412856098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2478397963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1239198996 + 1239198997.

It is an arithmetic number, because the mean of its divisors is an integer number (1239198997).

Almost surely, 22478397993 is an apocalyptic number.

It is an amenable number.

2478397993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2478397993 is an equidigital number, since it uses as much as digits as its factorization.

2478397993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20575296, while the sum is 61.

The square root of 2478397993 is about 49783.5112562382. The cubic root of 2478397993 is about 1353.2883700526.

The spelling of 2478397993 in words is "two billion, four hundred seventy-eight million, three hundred ninety-seven thousand, nine hundred ninety-three".