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4678086761 is a prime number
BaseRepresentation
bin1000101101101010…
…11111000001101001
3110002000122102121122
410112311133001221
534040042234021
62052111345025
7223633036625
oct42665370151
913060572548
104678086761
111a90726907
12aa6822175
1359725a89a
14325426185
151c5a69bab
hex116d5f069

4678086761 has 2 divisors, whose sum is σ = 4678086762. Its totient is φ = 4678086760.

The previous prime is 4678086727. The next prime is 4678086779. The reversal of 4678086761 is 1676808764.

4678086761 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., 4186090000 + 491996761 = 64700^2 + 22181^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4678086761 is a prime.

It is a super-2 number, since 2×46780867612 = 43768991486886942242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4678086781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2339043380 + 2339043381.

It is an arithmetic number, because the mean of its divisors is an integer number (2339043381).

Almost surely, 24678086761 is an apocalyptic number.

It is an amenable number.

4678086761 is a deficient number, since it is larger than the sum of its proper divisors (1).

4678086761 is an equidigital number, since it uses as much as digits as its factorization.

4678086761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2709504, while the sum is 53.

The square root of 4678086761 is about 68396.5405631016. The cubic root of 4678086761 is about 1672.4613520547.

The spelling of 4678086761 in words is "four billion, six hundred seventy-eight million, eighty-six thousand, seven hundred sixty-one".