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37856108141 is a prime number
BaseRepresentation
bin100011010000011001…
…100101111001101101
310121201020221112202022
4203100121211321231
51110012130430031
625220231435525
72510052416135
oct432031457155
9117636845668
1037856108141
1115066871395
127405b25ba5
133753b675b7
141b91977ac5
15eb869e97b
hex8d0665e6d

37856108141 has 2 divisors, whose sum is σ = 37856108142. Its totient is φ = 37856108140.

The previous prime is 37856108099. The next prime is 37856108159. The reversal of 37856108141 is 14180165873.

37856108141 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., 31664778916 + 6191329225 = 177946^2 + 78685^2 .

It is a cyclic number.

It is not a de Polignac number, because 37856108141 - 26 = 37856108077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37856108092 and 37856108101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37856108161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18928054070 + 18928054071.

It is an arithmetic number, because the mean of its divisors is an integer number (18928054071).

Almost surely, 237856108141 is an apocalyptic number.

It is an amenable number.

37856108141 is a deficient number, since it is larger than the sum of its proper divisors (1).

37856108141 is an equidigital number, since it uses as much as digits as its factorization.

37856108141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 37856108141 in words is "thirty-seven billion, eight hundred fifty-six million, one hundred eight thousand, one hundred forty-one".