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28896546042 = 23471317115303
BaseRepresentation
bin11010111010010111…
…100100110011111010
32202120211221122010000
4122322113210303322
5433140003433132
621135213133430
72042040405630
oct327227446372
982524848100
1028896546042
111128938a811
12572548a276
1329568a5270
141581a8b350
15b41d0e87c
hex6ba5e4cfa

28896546042 has 160 divisors (see below), whose sum is σ = 84380389632. Its totient is φ = 7172706816.

The previous prime is 28896545983. The next prime is 28896546061. The reversal of 28896546042 is 24064569882.

28896546042 is a `hidden beast` number, since 2 + 8 + 8 + 96 + 546 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28896546042.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192963 + ... + 308265.

Almost surely, 228896546042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28896546042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42190194816).

28896546042 is an abundant number, since it is smaller than the sum of its proper divisors (55483843590).

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

28896546042 is a wasteful number, since it uses less digits than its factorization.

28896546042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115354 (or 115345 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 28896546042 in words is "twenty-eight billion, eight hundred ninety-six million, five hundred forty-six thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 27 34 39 42 51 54 63 78 81 91 102 117 119 126 153 162 182 189 221 234 238 273 306 351 357 378 442 459 546 567 663 702 714 819 918 1053 1071 1134 1326 1377 1547 1638 1989 2106 2142 2457 2754 3094 3213 3978 4641 4914 5967 6426 7371 9282 9639 11934 13923 14742 17901 19278 27846 35802 41769 83538 115303 125307 230606 250614 345909 691818 807121 1037727 1498939 1614242 1960151 2075454 2421363 2997878 3113181 3920302 4496817 4842726 5880453 6226362 7264089 8993634 9339543 10492573 11760906 13490451 13721057 14528178 17641359 18679086 20985146 21792267 25481963 26980902 27442114 31477719 35282718 40471353 41163171 43584534 50963926 52924077 62955438 65376801 76445889 80942706 82326342 94433157 105848154 121414059 123489513 130753602 152891778 158772231 178373741 188866314 229337667 242828118 246979026 283299471 317544462 356747482 370468539 458675334 535121223 566598942 688013001 740937078 849898413 1070242446 1111405617 1376026002 1605363669 1699796826 2064039003 2222811234 3210727338 4128078006 4816091007 9632182014 14448273021 28896546042