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2013791641 is a prime number
BaseRepresentation
bin111100000001000…
…0000010110011001
312012100022012210121
41320002000112121
513111012313031
6531454313241
7100621642441
oct17002002631
95170265717
102013791641
11943807514
124824b8821
132612959b4
14151649121
15bbbd9011
hex78080599

2013791641 has 2 divisors, whose sum is σ = 2013791642. Its totient is φ = 2013791640.

The previous prime is 2013791623. The next prime is 2013791687. The reversal of 2013791641 is 1461973102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1411580041 + 602211600 = 37571^2 + 24540^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013791641 - 223 = 2005403033 is a prime.

It is a super-2 number, since 2×20137916412 = 8110713546722945762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013791597 and 2013791606.

It is not a weakly prime, because it can be changed into another prime (2013791041) 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, 1006895820 + 1006895821.

It is an arithmetic number, because the mean of its divisors is an integer number (1006895821).

Almost surely, 22013791641 is an apocalyptic number.

It is an amenable number.

2013791641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013791641 is an equidigital number, since it uses as much as digits as its factorization.

2013791641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 2013791641 is about 44875.2898709301. The cubic root of 2013791641 is about 1262.8104815052.

The spelling of 2013791641 in words is "two billion, thirteen million, seven hundred ninety-one thousand, six hundred forty-one".