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427085753681 = 171391027117597
BaseRepresentation
bin1100011011100000100…
…10110110110101010001
31111211101100012012222002
412031300102312311101
523444132423104211
6524111145523345
742566404002626
oct6156022666521
91454340165862
10427085753681
11155142856aa4
126a9321a3555
1331374015122
141695756834d
15b19976c03b
hex63704b6d51

427085753681 has 16 divisors (see below), whose sum is σ = 455531973120. Its totient is φ = 399009711360.

The previous prime is 427085753657. The next prime is 427085753693. The reversal of 427085753681 is 186357580724.

It is a cyclic number.

It is not a de Polignac number, because 427085753681 - 230 = 426012011857 is a prime.

It is a super-2 number, since 2×4270857536812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427085743681) 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 in 15 ways as a sum of consecutive naturals, for example, 24261575 + ... + 24279171.

It is an arithmetic number, because the mean of its divisors is an integer number (28470748320).

Almost surely, 2427085753681 is an apocalyptic number.

It is an amenable number.

427085753681 is a deficient number, since it is larger than the sum of its proper divisors (28446219439).

427085753681 is a wasteful number, since it uses less digits than its factorization.

427085753681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28024.

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 427085753681 in words is "four hundred twenty-seven billion, eighty-five million, seven hundred fifty-three thousand, six hundred eighty-one".

Divisors: 1 17 139 2363 10271 17597 174607 299149 1427669 2445983 24270373 41581711 180738787 3072559379 25122691393 427085753681