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1037682641 is a prime number
BaseRepresentation
bin111101110110011…
…100011111010001
32200022120201222102
4331312130133101
54111121321031
6250545050145
734500104552
oct7566343721
92608521872
101037682641
11492821366
1224b626955
13136ca1cc8
149bb5a329
15611767cb
hex3dd9c7d1

1037682641 has 2 divisors, whose sum is σ = 1037682642. Its totient is φ = 1037682640.

The previous prime is 1037682631. The next prime is 1037682661. The reversal of 1037682641 is 1462867301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 737665600 + 300017041 = 27160^2 + 17321^2 .

It is a cyclic number.

It is not a de Polignac number, because 1037682641 - 214 = 1037666257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1037682595 and 1037682604.

It is not a weakly prime, because it can be changed into another prime (1037682631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518841320 + 518841321.

It is an arithmetic number, because the mean of its divisors is an integer number (518841321).

Almost surely, 21037682641 is an apocalyptic number.

It is an amenable number.

1037682641 is a deficient number, since it is larger than the sum of its proper divisors (1).

1037682641 is an equidigital number, since it uses as much as digits as its factorization.

1037682641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 1037682641 is about 32213.0818302130. The cubic root of 1037682641 is about 1012.4063268722.

The spelling of 1037682641 in words is "one billion, thirty-seven million, six hundred eighty-two thousand, six hundred forty-one".