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10585268471 is a prime number
BaseRepresentation
bin10011101101110111…
…00110000011110111
31000022201001100112102
421312323212003313
5133134312042341
64510211012315
7523212204011
oct116673460367
930281040472
1010585268471
114542120968
122074b9a09b
13cc902898b
14725b931b1
1541e46ac9b
hex276ee60f7

10585268471 has 2 divisors, whose sum is σ = 10585268472. Its totient is φ = 10585268470.

The previous prime is 10585268459. The next prime is 10585268497. The reversal of 10585268471 is 17486258501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10585268471 - 214 = 10585252087 is a prime.

It is a super-3 number, since 3×105852684713 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10585268431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292634235 + 5292634236.

It is an arithmetic number, because the mean of its divisors is an integer number (5292634236).

Almost surely, 210585268471 is an apocalyptic number.

10585268471 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585268471 is an equidigital number, since it uses as much as digits as its factorization.

10585268471 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 537600, while the sum is 47.

The spelling of 10585268471 in words is "ten billion, five hundred eighty-five million, two hundred sixty-eight thousand, four hundred seventy-one".