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10642531727 is a prime number
BaseRepresentation
bin10011110100101100…
…00010010110001111
31000110200210121221202
421322112002112033
5133243442003402
64520014220115
7524506012202
oct117226022617
930420717852
1010642531727
114571482673
1220901b463b
131007b58069
1472d61b939
154244ccb02
hex27a58258f

10642531727 has 2 divisors, whose sum is σ = 10642531728. Its totient is φ = 10642531726.

The previous prime is 10642531699. The next prime is 10642531747. The reversal of 10642531727 is 72713524601.

10642531727 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 is a cyclic number.

It is not a de Polignac number, because 10642531727 - 212 = 10642527631 is a prime.

It is a super-2 number, since 2×106425317272 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10642531747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5321265863 + 5321265864.

It is an arithmetic number, because the mean of its divisors is an integer number (5321265864).

Almost surely, 210642531727 is an apocalyptic number.

10642531727 is a deficient number, since it is larger than the sum of its proper divisors (1).

10642531727 is an equidigital number, since it uses as much as digits as its factorization.

10642531727 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 10642531727 in words is "ten billion, six hundred forty-two million, five hundred thirty-one thousand, seven hundred twenty-seven".