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20321321672214 = 23219433613382463
BaseRepresentation
bin1001001111011011011010…
…01010001101111000010110
32122221200212211212201002100
410213231231022031320112
510130421031322002324
6111115253012422530
74165111203124023
oct447555512157026
978850784781070
1020321321672214
116525251343242
1223424a9617a46
13b453a5572824
145037b300854a
1525390e3324c9
hex127b6d28de16

20321321672214 has 96 divisors (see below), whose sum is σ = 47437958430720. Its totient is φ = 6266269646784.

The previous prime is 20321321672209. The next prime is 20321321672221. The reversal of 20321321672214 is 41227612312302.

20321321672214 is a `hidden beast` number, since 2 + 0 + 3 + 213 + 216 + 7 + 221 + 4 = 666.

It is a super-2 number, since 2×203213216722142 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52941547 + ... + 53324009.

It is an arithmetic number, because the mean of its divisors is an integer number (494145400320).

Almost surely, 220321321672214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20321321672214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23718979215360).

20321321672214 is an abundant number, since it is smaller than the sum of its proper divisors (27116636758506).

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

20321321672214 is a wasteful number, since it uses less digits than its factorization.

20321321672214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386146 (or 386143 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 20321321672214 its reverse (41227612312302), we get a palindrome (61548933984516).

The spelling of 20321321672214 in words is "twenty trillion, three hundred twenty-one billion, three hundred twenty-one million, six hundred seventy-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 387 774 817 1634 2451 3613 4902 7226 7353 10839 14706 21678 32517 65034 68647 137294 155359 205941 310718 382463 411882 466077 617823 764926 932154 1147389 1235646 1398231 2294778 2796462 2951821 3442167 5903642 6884334 7266797 8855463 14533594 16445909 17710926 21800391 26566389 32891818 43600782 49337727 53132778 65401173 98675454 130802346 148013181 296026362 312472271 624944542 937416813 1381838819 1874833626 2763677638 2812250439 4145516457 5624500878 8291032914 12436549371 24873098742 26254937561 52509875122 59419069217 78764812683 118838138434 157529625366 178257207651 236294438049 356514415302 472588876098 534771622953 1069543245906 1128962315123 2257924630246 3386886945369 6773773890738 10160660836107 20321321672214