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2427686771201 is a prime number
BaseRepresentation
bin100011010100111101011…
…010000101101000000001
322121002021122221220222022
4203110331122011220001
5304233400303134301
65055133000451225
7340252225035446
oct43247532055001
98532248856868
102427686771201
1185663799017a
12332603479b15
13147c11c40263
1485701b879cd
154323a3b8d1b
hex2353d685a01

2427686771201 has 2 divisors, whose sum is σ = 2427686771202. Its totient is φ = 2427686771200.

The previous prime is 2427686771143. The next prime is 2427686771203. The reversal of 2427686771201 is 1021776867242.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2278227984400 + 149458786801 = 1509380^2 + 386599^2 .

It is a cyclic number.

It is not a de Polignac number, because 2427686771201 - 210 = 2427686770177 is a prime.

Together with 2427686771203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2427686771203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1213843385600 + 1213843385601.

It is an arithmetic number, because the mean of its divisors is an integer number (1213843385601).

Almost surely, 22427686771201 is an apocalyptic number.

It is an amenable number.

2427686771201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2427686771201 is an equidigital number, since it uses as much as digits as its factorization.

2427686771201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3161088, while the sum is 53.

The spelling of 2427686771201 in words is "two trillion, four hundred twenty-seven billion, six hundred eighty-six million, seven hundred seventy-one thousand, two hundred one".