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28027561311594 = 232131077011596863
BaseRepresentation
bin1100101111101101011001…
…10101011111110101101010
310200020102000221022121022100
412113312230311133311222
512133200421143432334
6135335403420434230
75621632045230225
oct627665465376552
9120212027277270
1028027561311594
118a26470757639
123187b196a8976
131283cabc597a0
146cc7810d45bc
153390db7aac99
hex197dacd5fd6a

28027561311594 has 96 divisors (see below), whose sum is σ = 66103041199104. Its totient is φ = 8531075548800.

The previous prime is 28027561311593. The next prime is 28027561311613. The reversal of 28027561311594 is 49511316572082.

28027561311594 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 7 + 5 + 613 + 1 + 15 + 9 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28027561311594.

It is not an unprimeable number, because it can be changed into a prime (28027561311593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16753207 + ... + 18350069.

It is an arithmetic number, because the mean of its divisors is an integer number (688573345824).

It is a 1-persistent number, because it is pandigital, but 2⋅28027561311594 = 56055122623188 is not.

Almost surely, 228027561311594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28027561311594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33051520599552).

28027561311594 is an abundant number, since it is smaller than the sum of its proper divisors (38075479887510).

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

28027561311594 is a wasteful number, since it uses less digits than its factorization.

28027561311594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597692 (or 1597689 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 28027561311594 in words is "twenty-eight trillion, twenty-seven billion, five hundred sixty-one million, three hundred eleven thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 642 701 963 1391 1402 1926 2103 2782 4173 4206 6309 8346 9113 12519 12618 18226 25038 27339 54678 75007 82017 150014 164034 225021 450042 675063 975091 1350126 1596863 1950182 2925273 3193726 4790589 5850546 8775819 9581178 14371767 17551638 20759219 28743534 41518438 62277657 124555314 170864341 186832971 341728682 373665942 512593023 1025186046 1119400963 1537779069 2221236433 2238801926 3075558138 3358202889 4442472866 6663709299 6716405778 10074608667 13327418598 14552212519 19991127897 20149217334 29104425038 39982255794 43656637557 87313275114 119775903041 130969912671 239551806082 261939825342 359327709123 718655418246 1077983127369 1557086739533 2155966254738 3114173479066 4671260218599 9342520437198 14013780655797 28027561311594