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22792506912 = 25327109103723
BaseRepresentation
bin10101001110100010…
…100000111000100000
32011211110010022120200
4111032202200320200
5333134340210122
614245402305200
71434551053320
oct251642407040
964743108520
1022792506912
11973685987a
1245011b8200
1321c30b03a6
141163119280
158d5ec55ac
hex54e8a0e20

22792506912 has 144 divisors (see below), whose sum is σ = 74755961280. Its totient is φ = 6452338176.

The previous prime is 22792506899. The next prime is 22792506967. The reversal of 22792506912 is 21960529722.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167883 + ... + 271605.

It is an arithmetic number, because the mean of its divisors is an integer number (519138620).

Almost surely, 222792506912 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 22792506912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37377980640).

22792506912 is an abundant number, since it is smaller than the sum of its proper divisors (51963454368).

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

22792506912 is a wasteful number, since it uses less digits than its factorization.

22792506912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103855 (or 103844 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 22792506912 in words is "twenty-two billion, seven hundred ninety-two million, five hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 109 112 126 144 168 218 224 252 288 327 336 436 504 654 672 763 872 981 1008 1308 1526 1744 1962 2016 2289 2616 3052 3488 3924 4578 5232 6104 6867 7848 9156 10464 12208 13734 15696 18312 24416 27468 31392 36624 54936 73248 103723 109872 207446 219744 311169 414892 622338 726061 829784 933507 1244676 1452122 1659568 1867014 2178183 2489352 2904244 3319136 3734028 4356366 4978704 5808488 6534549 7468056 8712732 9957408 11305807 11616976 13069098 14936112 17425464 22611614 23233952 26138196 29872224 33917421 34850928 45223228 52276392 67834842 69701856 79140649 90446456 101752263 104552784 135669684 158281298 180892912 203504526 209105568 237421947 271339368 316562596 361785824 407009052 474843894 542678736 633125192 712265841 814018104 949687788 1085357472 1266250384 1424531682 1628036208 1899375576 2532500768 2849063364 3256072416 3798751152 5698126728 7597502304 11396253456 22792506912