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427537735724 = 22111728110931861
BaseRepresentation
bin1100011100010110011…
…11000010000000101100
31111212112211200021202202
412032023033002000230
524001044130020344
6524224053241032
742613532535551
oct6161317020054
91455484607682
10427537735724
111553549a6880
126aa39633178
1331416857018
141699b5c0a28
15b1c429c94e
hex638b3c202c

427537735724 has 96 divisors (see below), whose sum is σ = 868556146752. Its totient is φ = 181988352000.

The previous prime is 427537735699. The next prime is 427537735799.

427537735724 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 427537735724.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229734554 + ... + 229736414.

It is an arithmetic number, because the mean of its divisors is an integer number (9047459862).

Almost surely, 2427537735724 is an apocalyptic number.

427537735724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427537735724 is an abundant number, since it is smaller than the sum of its proper divisors (441018411028).

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

427537735724 is a wasteful number, since it uses less digits than its factorization.

427537735724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3265 counting only the distinct ones).

The product of its digits is 34574400, while the sum is 56.

The spelling of 427537735724 in words is "four hundred twenty-seven billion, five hundred thirty-seven million, seven hundred thirty-five thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 281 374 562 748 1093 1124 1861 2186 3091 3722 4372 4777 6182 7444 9554 12023 12364 18581 19108 20471 24046 31637 37162 40942 48092 52547 63274 74324 81884 105094 126548 204391 210188 307133 348007 408782 522941 614266 696014 817564 1045882 1228532 1392028 2034073 2091764 3378463 4068146 5221261 5752351 6756926 8136292 8889997 10442522 11504702 13513852 17779994 20885044 22374803 23009404 34579241 35559988 44749606 57433871 69158482 89499212 97789967 114867742 138316964 195579934 229735484 380371651 391159868 571574513 760743302 1143149026 1521486604 2286298052 6287319643 9716766721 12574639286 19433533442 25149278572 38867066884 106884433931 213768867862 427537735724