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26411065240230 = 23451128611036073
BaseRepresentation
bin1100000000101010011100…
…01010010110101010100110
310110111212120112202212120000
412000111032022112222212
511430204330200141410
6132101024215522130
75364064550310516
oct600251612265246
9113455515685500
1026411065240230
11846296287a620
122b66784389346
13119772556c698
14674433a23846
1530c02bd91dc0
hex18054e296aa6

26411065240230 has 160 divisors (see below), whose sum is σ = 77499611643168. Its totient is φ = 6400438387200.

The previous prime is 26411065240213. The next prime is 26411065240237. The reversal of 26411065240230 is 3204256011462.

26411065240230 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 106 + 524 + 0 + 23 + 0 = 666.

It is a super-3 number, since 3×264110652402303 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26411065240237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24973474 + ... + 26009546.

Almost surely, 226411065240230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26411065240230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38749805821584).

26411065240230 is an abundant number, since it is smaller than the sum of its proper divisors (51088546402938).

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

26411065240230 is a wasteful number, since it uses less digits than its factorization.

26411065240230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038964 (or 1038955 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 26411065240230 in words is "twenty-six trillion, four hundred eleven billion, sixty-five million, two hundred forty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2861 2970 4455 5722 8583 8910 14305 17166 25749 28610 31471 42915 51498 62942 77247 85830 94413 128745 154494 157355 188826 231741 257490 283239 314710 386235 463482 472065 566478 772470 849717 944130 1036073 1158705 1416195 1699434 2072146 2317410 2549151 2832390 3108219 4248585 5098302 5180365 6216438 8497170 9324657 10360730 11396803 12745755 15541095 18649314 22793606 25491510 27973971 31082190 34190409 46623285 55947942 56984015 68380818 83921913 93246570 102571227 113968030 139869855 167843826 170952045 205142454 279739710 307713681 341904090 419609565 512856135 615427362 839219130 923141043 1025712270 1538568405 1846282086 2964204853 3077136810 4615705215 5928409706 8892614559 9231410430 14821024265 17785229118 26677843677 29642048530 32606253383 44463072795 53355687354 65212506766 80033531031 88926145590 97818760149 133389218385 160067062062 163031266915 195637520298 240100593093 266778436770 293456280447 326062533830 400167655155 480201186186 489093800745 586912560894 800335310310 880368841341 978187601490 1200502965465 1467281402235 1760737682682 2401005930930 2641106524023 2934562804470 4401844206705 5282213048046 8803688413410 13205532620115 26411065240230