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28269681174 = 23271723832027
BaseRepresentation
bin11010010101000000…
…010001101000010110
32200222011101121011200
4122111000101220112
5430344014244144
620553101213330
72020356216360
oct322500215026
980864347150
1028269681174
1110a97552979
12558b561246
132886a616c7
14152270dd30
15b06c86c69
hex695011a16

28269681174 has 144 divisors (see below), whose sum is σ = 74591981568. Its totient is φ = 7578342144.

The previous prime is 28269681151. The next prime is 28269681263. The reversal of 28269681174 is 47118696282.

It is a happy number.

It is a super-2 number, since 2×282696811742 (a number of 22 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 28269681174.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13945549 + ... + 13947575.

It is an arithmetic number, because the mean of its divisors is an integer number (517999872).

Almost surely, 228269681174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28269681174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37295990784).

28269681174 is an abundant number, since it is smaller than the sum of its proper divisors (46322300394).

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

28269681174 is a wasteful number, since it uses less digits than its factorization.

28269681174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2439 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 28269681174 in words is "twenty-eight billion, two hundred sixty-nine million, six hundred eighty-one thousand, one hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 289 306 357 383 578 714 766 867 1071 1149 1734 2023 2027 2142 2298 2601 2681 3447 4046 4054 5202 5362 6069 6081 6511 6894 8043 12138 12162 13022 14189 16086 18207 18243 19533 24129 28378 34459 36414 36486 39066 42567 45577 48258 58599 68918 85134 91154 103377 110687 117198 127701 136731 206754 221374 241213 255402 273462 310131 332061 410193 482426 585803 620262 664122 723639 774809 776341 820386 996183 1171606 1447278 1549618 1552682 1757409 1992366 2170917 2324427 2329023 3514818 4100621 4341834 4648854 4658046 5272227 5434387 6973281 6987069 8201242 10544454 10868774 12301863 13197797 13946562 13974138 16303161 24603726 26395594 32606322 36905589 39593391 48909483 73811178 79186782 92384579 97818966 118780173 184769158 224362549 237560346 277153737 448725098 554307474 673087647 831461211 1346175294 1570537843 1662922422 2019262941 3141075686 4038525882 4711613529 9423227058 14134840587 28269681174