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427688886724 = 2211232271861751
BaseRepresentation
bin1100011100101000011…
…11101000000111000100
31111212221101002112221221
412032110033220013010
524001401323333344
6524251053050124
742620346361201
oct6162417500704
91455841075857
10427688886724
11155422254860
126aa80186944
133143bc69a98
14169b36c8ca8
15b1d26a8184
hex63943e81c4

427688886724 has 48 divisors (see below), whose sum is σ = 855750583296. Its totient is φ = 185132420000.

The previous prime is 427688886689. The next prime is 427688886743.

427688886724 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 701152 + ... + 1160599.

It is an arithmetic number, because the mean of its divisors is an integer number (17828137152).

Almost surely, 2427688886724 is an apocalyptic number.

427688886724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427688886724 is an abundant number, since it is smaller than the sum of its proper divisors (428061696572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427688886724 is a wasteful number, since it uses less digits than its factorization.

427688886724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862016 (or 1862014 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 70.

The spelling of 427688886724 in words is "four hundred twenty-seven billion, six hundred eighty-eight million, eight hundred eighty-six thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 22 23 44 46 92 227 253 454 506 908 1012 2497 4994 5221 9988 10442 20884 57431 114862 229724 1861751 3723502 7447004 20479261 40958522 42820273 81917044 85640546 171281092 422617477 471023003 845234954 942046006 1690469908 1884092012 4648792247 9297584494 9720201971 18595168988 19440403942 38880807884 106922221681 213844443362 427688886724