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8088059000034 = 23313281367111721
BaseRepresentation
bin111010110110010010111…
…1000100011010011100010
31001122012200201221002121000
41311230211320203103202
52030003321101000114
625111334130012430
71463225433111606
oct165544570432342
931565621832530
108088059000034
1126391434a5322
12aa762a717116
13468915558b40
141dd66d87d506
15e05c7bd5e09
hex75b25e234e2

8088059000034 has 128 divisors (see below), whose sum is σ = 19478024616960. Its totient is φ = 2472998169600.

The previous prime is 8088059000033. The next prime is 8088059000051. The reversal of 8088059000034 is 4300009508808.

It is a super-3 number, since 3×80880590000343 (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8088059000033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72339294 + ... + 72451014.

It is an arithmetic number, because the mean of its divisors is an integer number (152172067320).

Almost surely, 28088059000034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8088059000034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9739012308480).

8088059000034 is an abundant number, since it is smaller than the sum of its proper divisors (11389965616926).

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

8088059000034 is a wasteful number, since it uses less digits than its factorization.

8088059000034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112393 (or 112387 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 8088059000034 in words is "eight trillion, eighty-eight billion, fifty-nine million, thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 281 351 367 562 702 734 843 1101 1686 2202 2529 3303 3653 4771 5058 6606 7306 7587 9542 9909 10959 14313 15174 19818 21918 28626 32877 42939 65754 85878 98631 103127 111721 128817 197262 206254 223442 257634 309381 335163 618762 670326 928143 1005489 1340651 1452373 1856286 2010978 2681302 2784429 2904746 3016467 4021953 4357119 5568858 6032934 8043906 8714238 12065859 13071357 24131718 26142714 31393601 36197577 39214071 41001607 62787202 72395154 78428142 82003214 94180803 123004821 188361606 246009642 282542409 369014463 408116813 533020891 565084818 738028926 816233626 847627227 1066041782 1107043389 1224350439 1599062673 1695254454 2214086778 2448700878 3198125346 3673051317 4797188019 7346102634 9594376038 11019153951 11521451567 14391564057 22038307902 23042903134 28783128114 34564354701 69128709402 103693064103 149778870371 207386128206 299557740742 311079192309 449336611113 622158384618 898673222226 1348009833339 2696019666678 4044029500017 8088059000034