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1322609685072 = 2431310924180687
BaseRepresentation
bin10011001111110001101…
…011100011001001010000
311200102212221110110101120
4103033301223203021100
5133132201034410242
62451333135402240
7164361333554514
oct23176153431120
94612787413346
101322609685072
1146aa08761235
121943b7383380
139794c356410
144802c2b4144
152460dd361ec
hex133f1ae3250

1322609685072 has 160 divisors (see below), whose sum is σ = 3728779676160. Its totient is φ = 401545175040.

The previous prime is 1322609684971. The next prime is 1322609685151. The reversal of 1322609685072 is 2705869062231.

It is a happy number.

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, 16351513 + ... + 16432199.

It is an arithmetic number, because the mean of its divisors is an integer number (23304872976).

Almost surely, 21322609685072 is an apocalyptic number.

1322609685072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322609685072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864389838080).

1322609685072 is an abundant number, since it is smaller than the sum of its proper divisors (2406169991088).

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

1322609685072 is a wasteful number, since it uses less digits than its factorization.

1322609685072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81061 (or 81055 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 1322609685072 in words is "one trillion, three hundred twenty-two billion, six hundred nine million, six hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 109 156 208 218 241 312 327 436 482 624 654 723 872 964 1308 1417 1446 1744 1928 2616 2834 2892 3133 3856 4251 5232 5668 5784 6266 8502 9399 11336 11568 12532 17004 18798 22672 25064 26269 34008 37596 50128 52538 68016 75192 78807 80687 105076 150384 157614 161374 210152 242061 315228 322748 341497 420304 484122 630456 645496 682994 968244 1024491 1048931 1260912 1290992 1365988 1936488 2048982 2097862 2731976 3146793 3872976 4097964 4195724 5463952 6293586 8195928 8391448 8794883 12587172 16391856 16782896 17589766 19445567 25174344 26384649 35179532 38891134 50348688 52769298 58336701 70359064 77782268 105538596 114333479 116673402 140718128 155564536 211077192 228666958 233346804 252792371 311129072 343000437 422154384 457333916 466693608 505584742 686000874 758377113 914667832 933387216 1011169484 1372001748 1516754226 1829335664 2022338968 2119566803 2744003496 3033508452 4044677936 4239133606 5488006992 6067016904 6358700409 8478267212 12134033808 12717400818 16956534424 25434801636 27554368439 33913068848 50869603272 55108736878 82663105317 101739206544 110217473756 165326210634 220434947512 330652421268 440869895024 661304842536 1322609685072