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320232015006072 = 2331315761291106663
BaseRepresentation
bin100100011001111111101001…
…1100000000000100101111000
31112222211212210201120121001220
41020303333103200000211320
5313433140131320143242
63053024320133112040
7124310666600516061
oct11063772340004570
91488755721517056
10320232015006072
11930436a9048664
122babb139a88620
131098b99869c4a0
145911452a63568
152704e8261bbec
hex1233fd3800978

320232015006072 has 128 divisors (see below), whose sum is σ = 867676893135360. Its totient is φ = 97902814164480.

The previous prime is 320232015005999. The next prime is 320232015006089. The reversal of 320232015006072 is 270600510232023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3002225013 + ... + 3002331675.

It is an arithmetic number, because the mean of its divisors is an integer number (6778725727620).

Almost surely, 2320232015006072 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 320232015006072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433838446567680).

320232015006072 is an abundant number, since it is smaller than the sum of its proper divisors (547444878129288).

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

320232015006072 is a wasteful number, since it uses less digits than its factorization.

320232015006072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168133 (or 168129 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

Adding to 320232015006072 its reverse (270600510232023), we get a palindrome (590832525238095).

The spelling of 320232015006072 in words is "three hundred twenty trillion, two hundred thirty-two billion, fifteen million, six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 157 312 314 471 628 942 1256 1884 2041 3768 4082 6123 8164 12246 16328 24492 48984 61291 106663 122582 183873 213326 245164 319989 367746 426652 490328 639978 735492 796783 853304 1279956 1386619 1470984 1593566 2390349 2559912 2773238 3187132 4159857 4780698 5546476 6374264 8319714 9561396 9622687 11092952 16639428 16746091 19122792 19245374 28868061 33278856 33492182 38490748 50238273 57736122 66984364 76981496 100476546 115472244 125094931 133968728 200953092 217699183 230944488 250189862 375284793 401906184 435398366 500379724 653097549 750569586 870796732 1000759448 1306195098 1501139172 1741593464 2612390196 3002278344 5224780392 6537481933 13074963866 19612445799 26149927732 39224891598 52299855464 78449783196 84987265129 156899566392 169974530258 254961795387 339949060516 509923590774 679898121032 1019847181548 1026384663481 2039694363096 2052769326962 3079153990443 4105538653924 6158307980886 8211077307848 12316615961772 13343000625253 24633231923544 26686001250506 40029001875759 53372002501012 80058003751518 106744005002024 160116007503036 320232015006072