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8610701441 is a prime number
BaseRepresentation
bin10000000010011110…
…01110000010000001
3211020002112221210012
420001033032002001
5120113314421231
63542233114305
7423244516556
oct100117160201
924202487705
108610701441
113719575491
121803858995
13a72c17914
145b9838a2d
15355e2de2b
hex2013ce081

8610701441 has 2 divisors, whose sum is σ = 8610701442. Its totient is φ = 8610701440.

The previous prime is 8610701417. The next prime is 8610701443. The reversal of 8610701441 is 1441070168.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7704450625 + 906250816 = 87775^2 + 30104^2 .

It is a cyclic number.

It is not a de Polignac number, because 8610701441 - 218 = 8610439297 is a prime.

Together with 8610701443, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 8610701398 and 8610701407.

It is not a weakly prime, because it can be changed into another prime (8610701443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4305350720 + 4305350721.

It is an arithmetic number, because the mean of its divisors is an integer number (4305350721).

Almost surely, 28610701441 is an apocalyptic number.

It is an amenable number.

8610701441 is a deficient number, since it is larger than the sum of its proper divisors (1).

8610701441 is an equidigital number, since it uses as much as digits as its factorization.

8610701441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 8610701441 is about 92793.8653198583. The cubic root of 8610701441 is about 2049.6490726687.

The spelling of 8610701441 in words is "eight billion, six hundred ten million, seven hundred one thousand, four hundred forty-one".