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5303036306688 = 283173251159017
BaseRepresentation
bin100110100101011010110…
…0110000110010100000000
3200202222001201101111220120
41031022311212012110000
51143341104243303223
615140103052140240
71055063116603551
oct115126546062400
920688051344816
105303036306688
111765006821a2a
12717920167680
132c60c6c79b43
1414494dc62328
1592e26746be3
hex4d2b5986500

5303036306688 has 144 divisors (see below), whose sum is σ = 14252037863616. Its totient is φ = 1750448128000.

The previous prime is 5303036306683. The next prime is 5303036306749. The reversal of 5303036306688 is 8866036303035.

It is a super-2 number, since 2×53030363066882 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5303036306688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5303036306683) by changing a digit.

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, 33269356 + ... + 33428372.

It is an arithmetic number, because the mean of its divisors is an integer number (98972485164).

Almost surely, 25303036306688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5303036306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7126018931808).

5303036306688 is an abundant number, since it is smaller than the sum of its proper divisors (8949001556928).

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

5303036306688 is a wasteful number, since it uses less digits than its factorization.

5303036306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159460 (or 159446 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 5303036306688 in words is "five trillion, three hundred three billion, thirty-six million, three hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 251 256 346 384 502 519 692 753 768 1004 1038 1384 1506 2008 2076 2768 3012 4016 4152 5536 6024 8032 8304 11072 12048 16064 16608 22144 24096 32128 33216 43423 44288 48192 64256 66432 86846 96384 130269 132864 159017 173692 192768 260538 318034 347384 477051 521076 636068 694768 954102 1042152 1272136 1389536 1908204 2084304 2544272 2779072 3816408 4168608 5088544 5558144 7632816 8337216 10177088 11116288 15265632 16674432 20354176 27509941 30531264 33348864 39913267 40708352 55019882 61062528 79826534 82529823 110039764 119739801 122125056 159653068 165059646 220079528 239479602 319306136 330119292 440159056 478959204 638612272 660238584 880318112 957918408 1277224544 1320477168 1760636224 1915836816 2554449088 2640954336 3521272448 3831673632 5108898176 5281908672 6904995191 7042544896 7663347264 10217796352 10563817344 13809990382 15326694528 20714985573 21127634688 27619980764 30653389056 41429971146 55239961528 82859942292 110479923056 165719884584 220959846112 331439769168 441919692224 662879538336 883839384448 1325759076672 1767678768896 2651518153344 5303036306688