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532321341104 = 247411396471289
BaseRepresentation
bin1111011111100001101…
…00110000111010110000
31212220000101111221222002
413233300310300322300
532210143230403404
61044313421433132
753313263512460
oct7576064607260
91786011457862
10532321341104
11195835579453
128720140b7a8
133b27541a997
141ba9ba93ba0
15dca8446c1e
hex7bf0d30eb0

532321341104 has 160 divisors (see below), whose sum is σ = 1218971980800. Its totient is φ = 220459438080.

The previous prime is 532321341103. The next prime is 532321341119. The reversal of 532321341104 is 401143123235.

It is a super-2 number, since 2×5323213411042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (532321341103) 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, 412971692 + ... + 412972980.

It is an arithmetic number, because the mean of its divisors is an integer number (7618574880).

Almost surely, 2532321341104 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 532321341104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609485990400).

532321341104 is an abundant number, since it is smaller than the sum of its proper divisors (686650639696).

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

532321341104 is a wasteful number, since it uses less digits than its factorization.

532321341104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 532321341104 its reverse (401143123235), we get a palindrome (933464464339).

The spelling of 532321341104 in words is "five hundred thirty-two billion, three hundred twenty-one million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 139 164 278 287 328 556 574 647 656 973 1112 1148 1289 1294 1946 2224 2296 2578 2588 3892 4529 4592 5156 5176 5699 7784 9023 9058 10312 10352 11398 15568 18046 18116 20624 22796 26527 36092 36232 39893 45592 52849 53054 72184 72464 79786 89933 91184 105698 106108 144368 159572 179171 179866 185689 211396 212216 319144 358342 359732 369943 371378 422792 424432 629531 638288 716684 719464 739886 742756 833983 845584 1254197 1259062 1433368 1438928 1479772 1485512 1667966 2508394 2518124 2866736 2959544 2971024 3335932 3687253 5016788 5036248 5837881 5919088 6671864 7346011 7374506 10033576 10072496 11675762 13343728 14692022 14749012 20067152 23351524 25810771 29384044 29498024 34193303 46703048 51422077 51621542 58768088 58996048 68386606 93406096 102844154 103243084 115923637 117536176 136773212 205688308 206486168 231847274 239353121 273546424 411376616 412972336 463694548 478706242 547092848 811465459 822753232 927389096 957412484 1622930918 1854778192 1914824968 3245861836 3829649936 4752869117 6491723672 9505738234 12983447344 19011476468 33270083819 38022952936 66540167638 76045905872 133080335276 266160670552 532321341104