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55025072671230 = 2345109816176367
BaseRepresentation
bin11001000001011100001011…
…11010010000100111111110
321012211100022220221001120000
430200232011322100213332
524203012322100434410
6313010100332135130
714406300411365154
oct1440560572204776
9235740286831500
1055025072671230
1116595003027642
1262082896074a6
132491ac40b607c
14d83328c533d4
156564dd60adc0
hex320b85e909fe

55025072671230 has 160 divisors (see below), whose sum is σ = 149333955281280. Its totient is φ = 14536762951680.

The previous prime is 55025072671133. The next prime is 55025072671253. The reversal of 55025072671230 is 3217627052055.

55025072671230 is a `hidden beast` number, since 5 + 50 + 2 + 507 + 2 + 6 + 71 + 23 + 0 = 666.

55025072671230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 720496507 + ... + 720572873.

It is an arithmetic number, because the mean of its divisors is an integer number (933337220508).

Almost surely, 255025072671230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55025072671230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74666977640640).

55025072671230 is an abundant number, since it is smaller than the sum of its proper divisors (94308882610050).

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

55025072671230 is a wasteful number, since it uses less digits than its factorization.

55025072671230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84656 (or 84647 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 55025072671230 in words is "fifty-five trillion, twenty-five billion, seventy-two million, six hundred seventy-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 135 162 218 270 327 405 545 654 810 981 1090 1635 1962 2943 3270 4905 5886 8161 8829 9810 14715 16322 17658 24483 29430 40805 44145 48966 73449 76367 81610 88290 122415 146898 152734 220347 229101 244830 367245 381835 440694 458202 661041 687303 734490 763670 889549 1101735 1145505 1322082 1374606 1779098 2061909 2203470 2291010 2668647 3305205 3436515 4123818 4447745 5337294 6185727 6610410 6873030 8005941 8324003 8895490 10309545 12371454 13343235 16011882 16648006 20619090 24017823 24972009 26686470 30928635 40029705 41620015 48035646 49944018 61857270 72053469 74916027 80059410 83240030 120089115 124860045 144106938 149832054 224748081 240178230 249720090 360267345 374580135 449496162 623231087 674244243 720534690 749160270 1123740405 1246462174 1348488486 1869693261 2247480810 3116155435 3371221215 3739386522 5609079783 6232310870 6742442430 9348466305 11218159566 16827239349 18696932610 28045398915 33654478698 50481718047 56090797830 67932188483 84136196745 100963436094 135864376966 168272393490 203796565449 252408590235 339660942415 407593130898 504817180470 611389696347 679321884830 1018982827245 1222779392694 1834169089041 2037965654490 3056948481735 3668338178082 5502507267123 6113896963470 9170845445205 11005014534246 18341690890410 27512536335615 55025072671230