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2289265171392 = 263283233318059
BaseRepresentation
bin100001010100000010110…
…101100101101111000000
322002211222211022002020110
4201110002311211233000
5300001403340441032
64511401321311320
7324252060615123
oct41240265455700
98084884262213
102289265171392
11802965565501
1230b812335540
13137b52390694
147cb3002a3ba
153e83802b7cc
hex21502d65bc0

2289265171392 has 112 divisors (see below), whose sum is σ = 6081359114880. Its totient is φ = 760023948288.

The previous prime is 2289265171379. The next prime is 2289265171399. The reversal of 2289265171392 is 2931715629822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289265171399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126756859 + ... + 126774917.

It is an arithmetic number, because the mean of its divisors is an integer number (54297849240).

Almost surely, 22289265171392 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 2289265171392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040679557440).

2289265171392 is an abundant number, since it is smaller than the sum of its proper divisors (3792093943488).

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

2289265171392 is a wasteful number, since it uses less digits than its factorization.

2289265171392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20690 (or 20680 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The spelling of 2289265171392 in words is "two trillion, two hundred eighty-nine billion, two hundred sixty-five million, one hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 283 566 849 1132 1698 2264 2333 3396 4528 4666 6792 6999 9056 9332 13584 13998 18059 18112 18664 27168 27996 36118 37328 54177 54336 55992 72236 74656 108354 111984 144472 149312 216708 223968 288944 433416 447936 577888 660239 866832 1155776 1320478 1733664 1980717 2640956 3467328 3961434 5110697 5281912 7922868 10221394 10563824 15332091 15845736 20442788 21127648 30664182 31691472 40885576 42131647 42255296 61328364 63382944 81771152 84263294 122656728 126394941 126765888 163542304 168526588 245313456 252789882 327084608 337053176 490626912 505579764 674106352 981253824 1011159528 1348212704 2022319056 2696425408 4044638112 8089276224 11923256101 23846512202 35769768303 47693024404 71539536606 95386048808 143079073212 190772097616 286158146424 381544195232 572316292848 763088390464 1144632585696 2289265171392