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52012233252441 = 32721188713818753
BaseRepresentation
bin10111101001110000010101…
…01011111101111001011001
320211011022122222000201122200
423310320022223331321121
523304132023203034231
6302342031243240413
713645521425023200
oct1364701253757131
9224138588021580
1052012233252441
111563329a795560
125a0039b819109
13230396a549657
14cbb596a72237
15602e56ad4be6
hex2f4e0aafde59

52012233252441 has 144 divisors (see below), whose sum is σ = 95527190498688. Its totient is φ = 26966256307200.

The previous prime is 52012233252439. The next prime is 52012233252451. The reversal of 52012233252441 is 14425233221025.

52012233252441 is a `hidden beast` number, since 5 + 2 + 0 + 122 + 3 + 3 + 2 + 524 + 4 + 1 = 666.

It is not a de Polignac number, because 52012233252441 - 21 = 52012233252439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52012233252396 and 52012233252405.

It is not an unprimeable number, because it can be changed into a prime (52012233252451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5942213521 + ... + 5942222273.

It is an arithmetic number, because the mean of its divisors is an integer number (663383267352).

Almost surely, 252012233252441 is an apocalyptic number.

It is an amenable number.

52012233252441 is a deficient number, since it is larger than the sum of its proper divisors (43514957246247).

52012233252441 is a wasteful number, since it uses less digits than its factorization.

52012233252441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11052 (or 11042 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 52012233252441 its reverse (14425233221025), we get a palindrome (66437466473466).

The spelling of 52012233252441 in words is "fifty-two trillion, twelve billion, two hundred thirty-three million, two hundred fifty-two thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 887 1381 1617 2661 4143 4851 6209 7983 8753 9667 9757 12429 15191 18627 26259 29001 29271 43463 45573 55881 61271 67669 68299 78777 87003 87813 96283 106337 130389 136719 183813 203007 204897 288849 319011 391167 428897 478093 551439 609021 614691 673981 744359 866547 957033 1224947 1286691 1434279 2021943 2233077 3674841 3860073 4302837 4717867 6065829 6699231 7763911 8574629 11024523 12087893 13474417 14153601 23291733 25723887 36263679 40423251 42460803 54347377 60022403 69875199 77171661 84615251 85403021 94320919 108791037 121269753 132966823 163042131 180067209 253845753 256209063 282962757 380431639 398900469 489126393 540201627 592306757 597821147 660246433 761537259 768627189 848888271 930767761 1141294917 1196701407 1776920271 1793463441 1980739299 2792303283 3423884751 4184748029 5330760813 5380390323 5942217897 6515374327 8376909849 10721961091 12554244087 19546122981 32165883273 37662732261 58638368943 75053727637 96497649819 117941572001 225161182911 353824716003 525376093459 675483548733 825591004007 1061474148009 1576128280377 2476773012021 4728384841131 5779137028049 7430319036063 17337411084147 52012233252441