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5438016568384 = 2617191451181297
BaseRepresentation
bin100111100100010001100…
…0010111011110001000000
3201020212110201120021020021
41033020203002323301000
51203044024220142014
615322105035423224
71100612056106401
oct117104302736100
921225421507207
105438016568384
111807282647414
12739b108b4b14
13305a5888bc8a
1414b2b69319a8
15966c6913624
hex4f2230bbc40

5438016568384 has 112 divisors (see below), whose sum is σ = 12035547501120. Its totient is φ = 2422694707200.

The previous prime is 5438016568337. The next prime is 5438016568421. The reversal of 5438016568384 is 4838656108345.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29904424 + ... + 30085720.

Almost surely, 25438016568384 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 5438016568384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017773750560).

5438016568384 is an abundant number, since it is smaller than the sum of its proper divisors (6597530932736).

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

5438016568384 is a wasteful number, since it uses less digits than its factorization.

5438016568384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182796 (or 182786 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 61.

The spelling of 5438016568384 in words is "five trillion, four hundred thirty-eight billion, sixteen million, five hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 323 544 608 646 1088 1216 1292 1451 2584 2902 5168 5804 10336 11608 20672 23216 24667 27569 46432 49334 55138 92864 98668 110276 181297 197336 220552 362594 394672 441104 468673 725188 789344 882208 937346 1450376 1578688 1764416 1874692 2900752 3082049 3444643 3749384 5801504 6164098 6889286 7498768 11603008 12328196 13778572 14997536 24656392 27557144 29995072 49312784 55114288 58558931 98625568 110228576 117117862 197251136 220457152 234235724 263061947 468471448 526123894 936942896 1052247788 1873885792 2104495576 3747771584 4208991152 4472053099 4998176993 8417982304 8944106198 9996353986 16835964608 17888212396 19992707972 35776424792 39985415944 71552849584 79970831888 84969008881 143105699168 159941663776 169938017762 286211398336 319883327552 339876035524 679752071048 1359504142096 2719008284192 5438016568384