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21240212047548 = 223132147121533307
BaseRepresentation
bin1001101010001010111110…
…10010110100011010111100
32210012112200220020021200120
410311011133102310122330
510240444423241010143
6113101341350254540
74321361153341104
oct465053722643274
983175626207616
1021240212047548
116849a17a7367a
1224705b4057450
13bb0c35865b00
14536063190204
1526c78ee92383
hex13515f4b46bc

21240212047548 has 144 divisors (see below), whose sum is σ = 53743770372096. Its totient is φ = 6525999567360.

The previous prime is 21240212047543. The next prime is 21240212047559. The reversal of 21240212047548 is 84574021204212.

It is a super-2 number, since 2×212402120475482 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21240212047543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6422802111 + ... + 6422805417.

It is an arithmetic number, because the mean of its divisors is an integer number (373220627584).

Almost surely, 221240212047548 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21240212047548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26871885186048).

21240212047548 is an abundant number, since it is smaller than the sum of its proper divisors (32503558324548).

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

21240212047548 is a wasteful number, since it uses less digits than its factorization.

21240212047548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 21240212047548 in words is "twenty-one trillion, two hundred forty billion, two hundred twelve million, forty-seven thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1471 2028 2153 2942 3307 4306 4413 5884 6459 6614 8612 8826 9921 12918 13228 17652 19123 19842 25836 27989 38246 39684 42991 55978 57369 76492 83967 85982 111956 114738 128973 167934 171964 229476 248599 257946 335868 363857 497198 515892 558883 727714 745797 994396 1091571 1117766 1455428 1491594 1676649 2183142 2235532 2983188 3167063 3353298 4366284 4864597 6334126 6706596 7119971 9501189 9729194 12668252 14239942 14593791 19002378 19458388 21359913 28479884 29187582 38004756 41171819 42719826 58375164 63239761 82343638 85439652 92559623 123515457 126479522 164687276 185119246 189719283 247030914 252959044 277678869 370238492 379438566 494061828 535233647 555357738 758877132 822116893 1070467294 1110715476 1203275099 1605700941 1644233786 2140934588 2406550198 2466350679 3211401882 3288467572 3609825297 4813100396 4932701358 6422803764 7219650594 9865402716 10473477341 14439301188 20946954682 31420432023 41893909364 62840864046 125681728092 136155205433 272310410866 408465616299 544620821732 816931232598 1633862465196 1770017670629 3540035341258 5310053011887 7080070682516 10620106023774 21240212047548