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28050464106 = 234789449619
BaseRepresentation
bin11010000111111100…
…000001110101101010
32200101212220012220000
4122013330001311222
5424421404322411
620515230443430
72012055003510
oct320774016552
980355805800
1028050464106
1110994834945
12552a063576
132850509472
1415015684b0
15ae28d3956
hex687f01d6a

28050464106 has 160 divisors (see below), whose sum is σ = 72919440000. Its totient is φ = 7893946368.

The previous prime is 28050464077. The next prime is 28050464137. The reversal of 28050464106 is 60146405082.

28050464106 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 0 + 4 + 641 + 0 + 6 = 666.

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, 45315465 + ... + 45316083.

It is an arithmetic number, because the mean of its divisors is an integer number (455746500).

Almost surely, 228050464106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28050464106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36459720000).

28050464106 is an abundant number, since it is smaller than the sum of its proper divisors (44868975894).

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

28050464106 is a wasteful number, since it uses less digits than its factorization.

28050464106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 28050464106 its reverse (60146405082), we get a palindrome (88196869188).

The spelling of 28050464106 in words is "twenty-eight billion, fifty million, four hundred sixty-four thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 89 126 162 178 189 267 378 449 534 567 619 623 801 898 1134 1238 1246 1347 1602 1857 1869 2403 2694 3143 3714 3738 4041 4333 4806 5571 5607 6286 7209 8082 8666 9429 11142 11214 12123 12999 14418 16713 16821 18858 24246 25998 28287 33426 33642 36369 38997 39961 50139 50463 55091 56574 72738 77994 79922 84861 100278 100926 110182 116991 119883 165273 169722 233982 239766 254583 277931 279727 330546 350973 359649 385637 495819 509166 555862 559454 701946 719298 771274 833793 839181 991638 1078947 1156911 1487457 1667586 1678362 1945517 2157894 2313822 2501379 2517543 2974914 3236841 3470733 3891034 4462371 5002758 5035086 5836551 6473682 6941466 7504137 7552629 8924742 10412199 11673102 15008274 15105258 17509653 20824398 22512411 22657887 24735859 31236597 35019306 45024822 45315774 49471718 52528959 62473194 74207577 105057918 148415154 157586877 173151013 222622731 315173754 346302026 445245462 519453039 667868193 1038906078 1335736386 1558359117 2003604579 3116718234 4007209158 4675077351 9350154702 14025232053 28050464106