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56438537904 = 2432727998659
BaseRepresentation
bin110100100011111111…
…111011111010110000
312101200022001210012200
4310203333323322300
51411041231203104
641532201423200
74035412441200
oct644377737260
9171608053180
1056438537904
1121a320a0961
12ab3119ab00
135425951278
142a35896400
151704c54b39
hexd23ffbeb0

56438537904 has 90 divisors (see below), whose sum is σ = 183737218860. Its totient is φ = 16125294528.

The previous prime is 56438537867. The next prime is 56438537923. The reversal of 56438537904 is 40973583465.

56438537904 is a `hidden beast` number, since 564 + 3 + 8 + 5 + 3 + 79 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3992274 + ... + 4006385.

It is an arithmetic number, because the mean of its divisors is an integer number (2041524654).

Almost surely, 256438537904 is an apocalyptic number.

It is an amenable number.

56438537904 is an abundant number, since it is smaller than the sum of its proper divisors (127298680956).

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

56438537904 is a wasteful number, since it uses less digits than its factorization.

56438537904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998687 (or 7998671 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 56438537904 in words is "fifty-six billion, four hundred thirty-eight million, five hundred thirty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 7998659 15997318 23995977 31994636 47991954 55990613 63989272 71987931 95983908 111981226 127978544 143975862 167971839 191967816 223962452 287951724 335943678 383935632 391934291 447924904 503915517 575903448 671887356 783868582 895849808 1007831034 1151806896 1175802873 1343774712 1567737164 2015662068 2351605746 2687549424 3135474328 3527408619 4031324136 4703211492 6270948656 7054817238 8062648272 9406422984 14109634476 18812845968 28219268952 56438537904