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50424033042405 = 325112101569161141
BaseRepresentation
bin10110111011100010000101…
…00100111101111111100101
320121112111020120010200111100
423131301002210331333211
523102121404424324110
6255124251521030313
713423005355002141
oct1335610244757745
9217474216120440
1050424033042405
1115080792111a00
1257a4622785399
132219c73159369
14c64771568221
155c69a13c4bc0
hex2ddc4293dfe5

50424033042405 has 144 divisors (see below), whose sum is σ = 97191888459120. Its totient is φ = 24163265280000.

The previous prime is 50424033042343. The next prime is 50424033042463.

50424033042405 is a `hidden beast` number, since 5 + 0 + 4 + 2 + 403 + 3 + 0 + 4 + 240 + 5 = 666.

50424033042405 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1598611267044 + 48825421775361 = 1264362^2 + 6987519^2 .

It is not a de Polignac number, because 50424033042405 - 210 = 50424033041381 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 50424033042405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 312838135 + ... + 312999275.

It is an arithmetic number, because the mean of its divisors is an integer number (674943669855).

Almost surely, 250424033042405 is an apocalyptic number.

50424033042405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

50424033042405 is a deficient number, since it is larger than the sum of its proper divisors (46767855416715).

50424033042405 is a wasteful number, since it uses less digits than its factorization.

50424033042405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161844 (or 161830 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 5042403 and 3042405, that added together give a palindrome (8084808).

The spelling of 50424033042405 in words is "fifty trillion, four hundred twenty-four billion, thirty-three million, forty-two thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 101 121 165 303 363 495 505 569 605 909 1089 1111 1515 1707 1815 2845 3333 4545 5121 5445 5555 6259 8535 9999 12221 16665 18777 25605 31295 36663 49995 56331 57469 61105 68849 93885 109989 161141 172407 183315 206547 281655 287345 344245 483423 517221 549945 619641 632159 805705 862035 1032735 1450269 1772551 1896477 2417115 2586105 3098205 3160795 5317653 5689431 6953749 7251345 8862755 9482385 15952959 16275241 19498061 20861247 26588265 28447155 34768745 48825723 58494183 62583741 79764795 81376205 91689229 97490305 104306235 146477169 175482549 179027651 244128615 275067687 292470915 312918705 458446145 537082953 732385845 825203061 877412745 895138255 1008581519 1375338435 1611248859 1969304161 2685414765 3025744557 4126015305 5042907595 5907912483 8056244295 9077233671 9260612129 9846520805 11094396709 15128722785 17723737449 27781836387 29539562415 33283190127 45386168355 46303060645 55471983545 83345509161 88618687245 99849570381 101866733419 138909181935 166415950635 305600200257 416727545805 499247851905 509333667095 916800600771 1120534067609 1528001001285 3361602202827 4584003003855 5602670338045 10084806608481 16808011014135 50424033042405