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21344042096 = 24131743229613
BaseRepresentation
bin10011111000001101…
…000011110001110000
32001002111120200101122
4103320031003301300
5322203033321341
613445540521412
71353632235656
oct237015036160
961074520348
1021344042096
119063178813
1241780b0268
132021c93210
1410669ccdd6
1584dc5a94b
hex4f8343c70

21344042096 has 160 divisors (see below), whose sum is σ = 48541268160. Its totient is φ = 9001746432.

The previous prime is 21344042077. The next prime is 21344042149. The reversal of 21344042096 is 69024044312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34818686 + ... + 34819298.

It is an arithmetic number, because the mean of its divisors is an integer number (303382926).

Almost surely, 221344042096 is an apocalyptic number.

21344042096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21344042096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24270634080).

21344042096 is an abundant number, since it is smaller than the sum of its proper divisors (27197226064).

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

21344042096 is a wasteful number, since it uses less digits than its factorization.

21344042096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 21344042096 in words is "twenty-one billion, three hundred forty-four million, forty-two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 17 26 34 43 52 68 86 104 136 172 208 221 229 272 344 442 458 559 613 688 731 884 916 1118 1226 1462 1768 1832 2236 2452 2924 2977 3536 3664 3893 4472 4904 5848 5954 7786 7969 8944 9503 9808 9847 10421 11696 11908 15572 15938 19006 19694 20842 23816 26359 31144 31876 38012 39388 41684 47632 50609 52718 62288 63752 76024 78776 83368 101218 105436 127504 128011 135473 140377 152048 157552 166736 167399 202436 210872 256022 270946 280754 334798 342667 404872 421744 448103 512044 541892 561508 669596 685334 809744 896206 1024088 1083784 1123016 1339192 1370668 1792412 1824901 2048176 2167568 2176187 2246032 2386409 2678384 2741336 3584824 3649802 4352374 4772818 5482672 5825339 6036211 7169648 7299604 8704748 9545636 11650678 12072422 14599208 17409496 19091272 23301356 24144844 29198416 31023317 34818992 38182544 46602712 48289688 62046634 78470743 93205424 96579376 102615587 124093268 156941486 205231174 248186536 313882972 410462348 496373072 627765944 820924696 1255531888 1334002631 1641849392 2668005262 5336010524 10672021048 21344042096