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2678462641 is a prime number
BaseRepresentation
bin1001111110100110…
…0001100010110001
320220200000000000001
42133221201202301
520441141301031
61121440430001
7123242361661
oct23751414261
96820000001
102678462641
111154a16698
12629018301
13338bb564a
141b5a281a1
1510a22d861
hex9fa618b1

2678462641 has 2 divisors, whose sum is σ = 2678462642. Its totient is φ = 2678462640.

The previous prime is 2678462609. The next prime is 2678462669. The reversal of 2678462641 is 1462648762.

It is a happy number.

2678462641 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., 1383542416 + 1294920225 = 37196^2 + 35985^2 .

It is a cyclic number.

It is not a de Polignac number, because 2678462641 - 25 = 2678462609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2678462591 and 2678462600.

It is not a weakly prime, because it can be changed into another prime (2678462681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1339231320 + 1339231321.

It is an arithmetic number, because the mean of its divisors is an integer number (1339231321).

Almost surely, 22678462641 is an apocalyptic number.

It is an amenable number.

2678462641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2678462641 is an equidigital number, since it uses as much as digits as its factorization.

2678462641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 774144, while the sum is 46.

The square root of 2678462641 is about 51753.8659522166. The cubic root of 2678462641 is about 1388.7642591076.

The spelling of 2678462641 in words is "two billion, six hundred seventy-eight million, four hundred sixty-two thousand, six hundred forty-one".