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112244511333504 = 27311107112480911
BaseRepresentation
bin11001100001010111110110…
…001110011101110010000000
3112201102110200222121100020010
4121201113312032131302000
5104203003224400133004
61034420225555144520
732433253425205344
oct3141276616356200
9481373628540203
10112244511333504
11328456a2491910
12107098a38a5140
134a827c574b554
141da0940299624
15ce9b0d727a89
hex6615f639dc80

112244511333504 has 128 divisors (see below), whose sum is σ = 325284479170560. Its totient is φ = 34010299008000.

The previous prime is 112244511333497. The next prime is 112244511333517. The reversal of 112244511333504 is 405333115442211.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44002809 + ... + 46483719.

It is an arithmetic number, because the mean of its divisors is an integer number (2541284993520).

Almost surely, 2112244511333504 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 112244511333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162642239585280).

112244511333504 is an abundant number, since it is smaller than the sum of its proper divisors (213039967837056).

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

112244511333504 is a wasteful number, since it uses less digits than its factorization.

112244511333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491650 (or 2491638 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 112244511333504 its reverse (405333115442211), we get a palindrome (517577626775715).

The spelling of 112244511333504 in words is "one hundred twelve trillion, two hundred forty-four billion, five hundred eleven million, three hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 10711 21422 32133 42844 64266 85688 117821 128532 171376 235642 257064 342752 353463 471284 514128 685504 706926 942568 1028256 1371008 1413852 1885136 2056512 2480911 2827704 3770272 4113024 4961822 5655408 7442733 7540544 9923644 11310816 14885466 15081088 19847288 22621632 27290021 29770932 39694576 45243264 54580042 59541864 79389152 81870063 109160084 119083728 158778304 163740126 218320168 238167456 317556608 327480252 436640336 476334912 654960504 873280672 952669824 1309921008 1746561344 2619842016 3493122688 5239684032 10479368064 26573037721 53146075442 79719113163 106292150884 159438226326 212584301768 292303414931 318876452652 425168603536 584606829862 637752905304 850337207072 876910244793 1169213659724 1275505810608 1700674414144 1753820489586 2338427319448 2551011621216 3401348828288 3507640979172 4676854638896 5102023242432 7015281958344 9353709277792 10204046484864 14030563916688 18707418555584 28061127833376 37414837111168 56122255666752 112244511333504