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28214950331152 = 24131741691281647
BaseRepresentation
bin1100110101001010011100…
…00101111000001100010000
310200220022201101211002212001
412122211032011320030100
512144233204241044102
6140001434053443344
75641314525506344
oct632451605701420
9120808641732761
1028214950331152
118a98990999552
1231b82b5940554
131298873672650
146d787a393624
1533de07a23487
hex19a94e178310

28214950331152 has 160 divisors (see below), whose sum is σ = 63947606091264. Its totient is φ = 11939987865600.

The previous prime is 28214950331123. The next prime is 28214950331171. The reversal of 28214950331152 is 25113305941282.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100037593 + ... + 100319239.

Almost surely, 228214950331152 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 28214950331152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31973803045632).

28214950331152 is an abundant number, since it is smaller than the sum of its proper divisors (35732655760112).

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

28214950331152 is a wasteful number, since it uses less digits than its factorization.

28214950331152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282417 (or 282411 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 28214950331152 in words is "twenty-eight trillion, two hundred fourteen billion, nine hundred fifty million, three hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 34 41 52 68 82 104 136 164 208 221 272 328 442 533 656 691 697 884 1066 1382 1394 1768 2132 2764 2788 3536 4264 5528 5576 8528 8983 9061 11056 11152 11747 17966 18122 23494 28331 35932 36244 46988 56662 71864 72488 93976 113324 143728 144976 152711 187952 226648 281647 305422 368303 453296 481627 563294 610844 736606 963254 1126588 1221688 1473212 1926508 2253176 2443376 2946424 3661411 3853016 4506352 4787999 5892848 6261151 7322822 7706032 9575998 11547527 12522302 14645644 19151996 23095054 25044604 29291288 38303992 46190108 50089208 58582576 62243987 76607984 92380216 100178416 124487974 150117851 184760432 194618077 196307959 248975948 300235702 389236154 392615918 497951896 600471404 778472308 785231836 995903792 1200942808 1556944616 1570463672 2401885616 2530035001 2552003467 3113889232 3140927344 3308507309 5060070002 5104006934 6617014618 7979341157 10120140004 10208013868 13234029236 15958682314 20240280008 20416027736 26468058472 31917364628 40480560016 40832055472 43010595017 52936116944 63834729256 86021190034 103731435041 127669458512 135648799669 172042380068 207462870082 271297599338 344084760136 414925740164 542595198676 688169520272 829851480328 1085190397352 1659702960656 1763434395697 2170380794704 3526868791394 7053737582788 14107475165576 28214950331152