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21514466550 = 23523128316349
BaseRepresentation
bin10100000010010111…
…001011010011110110
32001112101021010210110
4110002113023103312
5323030200412200
613514505403450
71361101643163
oct240227132366
961471233713
1021514466550
1191403a0175
124205199586
13204b3937a5
1410814b306a
1585dbc1b50
hex5025cb4f6

21514466550 has 96 divisors (see below), whose sum is σ = 55275033600. Its totient is φ = 5532163200.

The previous prime is 21514466527. The next prime is 21514466551. The reversal of 21514466550 is 5566441512.

It is a junction number, because it is equal to n+sod(n) for n = 21514466499 and 21514466508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21514466551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1307776 + ... + 1324124.

It is an arithmetic number, because the mean of its divisors is an integer number (575781600).

Almost surely, 221514466550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21514466550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637516800).

21514466550 is an abundant number, since it is smaller than the sum of its proper divisors (33760567050).

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

21514466550 is a wasteful number, since it uses less digits than its factorization.

21514466550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16678 (or 16673 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 21514466550 in words is "twenty-one billion, five hundred fourteen million, four hundred sixty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 283 310 465 566 775 849 930 1415 1550 1698 2325 2830 4245 4650 7075 8490 8773 14150 16349 17546 21225 26319 32698 42450 43865 49047 52638 81745 87730 98094 131595 163490 219325 245235 263190 408725 438650 490470 506819 657975 817450 1013638 1226175 1315950 1520457 2452350 2534095 3040914 4626767 5068190 7602285 9253534 12670475 13880301 15204570 23133835 25340950 27760602 38011425 46267670 69401505 76022850 115669175 138803010 143429777 231338350 286859554 347007525 430289331 694015050 717148885 860578662 1434297770 2151446655 3585744425 4302893310 7171488850 10757233275 21514466550