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2112983057616 = 2432373227115499
BaseRepresentation
bin11110101111110111100…
…110101100010011010000
321110222222102101212002120
4132233313212230103100
5234104342130320431
64254405132014240
7305441455435344
oct36576746542320
97428872355076
102112983057616
1174512493a272
122a1615901380
1312433aa93012
14743a9d09624
1539e6be1e196
hex1ebf79ac4d0

2112983057616 has 160 divisors (see below), whose sum is σ = 5799378816000. Its totient is φ = 661542976512.

The previous prime is 2112983057611. The next prime is 2112983057681. The reversal of 2112983057616 is 6167503892112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112983057611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18236635 + ... + 18352133.

It is an arithmetic number, because the mean of its divisors is an integer number (36246117600).

Almost surely, 22112983057616 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 2112983057616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899689408000).

2112983057616 is an abundant number, since it is smaller than the sum of its proper divisors (3686395758384).

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

2112983057616 is a wasteful number, since it uses less digits than its factorization.

2112983057616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115833 (or 115827 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 2112983057616 in words is "two trillion, one hundred twelve billion, nine hundred eighty-three million, fifty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 73 92 138 146 184 219 227 276 292 368 438 454 552 584 681 876 908 1104 1168 1362 1679 1752 1816 2724 3358 3504 3632 5037 5221 5448 6716 10074 10442 10896 13432 15663 16571 20148 20884 26864 31326 33142 40296 41768 49713 62652 66284 80592 83536 99426 115499 125304 132568 198852 230998 250608 265136 346497 381133 397704 461996 692994 762266 795408 923992 1143399 1385988 1524532 1847984 2286798 2656477 2771976 3049064 4573596 5312954 5543952 6098128 7969431 8431427 9147192 10625908 15938862 16862854 18294384 21251816 25294281 26218273 31877724 33725708 42503632 50588562 52436546 63755448 67451416 78654819 101177124 104873092 127510896 134902832 157309638 193922821 202354248 209746184 314619276 387845642 404708496 419492368 581768463 603020279 629238552 775691284 1163536926 1206040558 1258477104 1551382568 1809060837 1913933929 2327073852 2412081116 3102765136 3618121674 3827867858 4654147704 4824162232 5741801787 7236243348 7655735716 9308295408 9648324464 11483603574 14472486696 15311471432 22967207148 28944973392 30622942864 44020480367 45934414296 88040960734 91868828592 132061441101 176081921468 264122882202 352163842936 528245764404 704327685872 1056491528808 2112983057616