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11242256729904 = 2432437324871369
BaseRepresentation
bin1010001110011000101010…
…1110000000011100110000
31110210202020012102122202100
42203212022232000130300
52433143120210324104
635524342122020400
72240140413334524
oct243461256003460
943722205378670
1011242256729904
1136448a5925792
1213169a9047700
136371a91ca805
142ac1b182bd84
151476847db139
hexa398ab80730

11242256729904 has 120 divisors (see below), whose sum is σ = 32635415830160. Its totient is φ = 3610128807936.

The previous prime is 11242256729897. The next prime is 11242256729923. The reversal of 11242256729904 is 40992765224211.

11242256729904 is a `hidden beast` number, since 1 + 12 + 42 + 2 + 567 + 29 + 9 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11983669 + ... + 12887700.

Almost surely, 211242256729904 is an apocalyptic number.

It is an amenable number.

11242256729904 is an abundant number, since it is smaller than the sum of its proper divisors (21393159100256).

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

11242256729904 is a wasteful number, since it uses less digits than its factorization.

11242256729904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24871499 (or 24871490 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11242256729904 in words is "eleven trillion, two hundred forty-two billion, two hundred fifty-six million, seven hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 73 86 129 144 146 172 219 258 292 344 387 438 516 584 657 688 774 876 1032 1168 1314 1548 1752 2064 2628 3096 3139 3504 5256 6192 6278 9417 10512 12556 18834 25112 28251 37668 50224 56502 75336 113004 150672 226008 452016 24871369 49742738 74614107 99485476 149228214 198970952 223842321 298456428 397941904 447684642 596912856 895369284 1069468867 1193825712 1790738568 1815609937 2138937734 3208406601 3581477136 3631219874 4277875468 5446829811 6416813202 7262439748 8555750936 9625219803 10893659622 12833626404 14524879496 16340489433 17111501872 19250439606 21787319244 25667252808 29049758992 32680978866 38500879212 43574638488 51334505616 65361957732 77001758424 78071227291 87149276976 130723915464 154003516848 156142454582 234213681873 261447830928 312284909164 468427363746 624569818328 702641045619 936854727492 1249139636656 1405282091238 1873709454984 2810564182476 3747418909968 5621128364952 11242256729904