Search a number
-
+
575316650536740 = 2232571924031606121
BaseRepresentation
bin1000001011001111110101100…
…0100101101010111100100100
32210110000201211120011110211100
42002303331120211222330210
51100401442000014133430
65355332453125440100
7232116153631506360
oct20263753045527444
92713021746143740
10575316650536740
1115734a46a832412
125463827a270030
131b903186a57b48
14a20d68dcbc2a0
15467a48de6b960
hex20b3f5896af24

575316650536740 has 144 divisors (see below), whose sum is σ = 2099401110817920. Its totient is φ = 124579846126080.

The previous prime is 575316650536729. The next prime is 575316650536741. The reversal of 575316650536740 is 47635056613575.

575316650536740 is a `hidden beast` number, since 5 + 7 + 5 + 3 + 1 + 6 + 6 + 50 + 536 + 7 + 40 = 666.

575316650536740 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 (63).

It is not an unprimeable number, because it can be changed into a prime (575316650536741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12015779121 + ... + 12015827000.

It is an arithmetic number, because the mean of its divisors is an integer number (14579174380680).

Almost surely, 2575316650536740 is an apocalyptic number.

It is an amenable number.

575316650536740 is an abundant number, since it is smaller than the sum of its proper divisors (1524084460281180).

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

575316650536740 is a wasteful number, since it uses less digits than its factorization.

575316650536740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24031606162 (or 24031606157 counting only the distinct ones).

The product of its (nonzero) digits is 238140000, while the sum is 63.

The spelling of 575316650536740 in words is "five hundred seventy-five trillion, three hundred sixteen billion, six hundred fifty million, five hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 24031606121 48063212242 72094818363 96126424484 120158030605 144189636726 168221242847 216284455089 240316061210 288379273452 336442485694 360474091815 432568910178 456600516299 480632122420 504663728541 672884971388 720948183630 841106214235 865137820356 913201032598 1009327457082 1081422275445 1369801548897 1441896367260 1513991185623 1682212428470 1826402065196 2018654914164 2162844550890 2283002581495 2523318642705 2739603097794 3027982371246 3196203614093 3364424856940 4109404646691 4325689101780 4566005162990 5046637285410 5479206195588 6055964742492 6392407228186 6849007744485 7569955928115 8218809293382 9132010325980 9588610842279 10093274570820 12784814456372 13698015488970 15139911856230 15981018070465 16437618586764 19177221684558 20547023233455 27396030977940 28765832526837 30279823712460 31962036140930 38354443369116 41094046466910 47943054211395 57531665053674 63924072281860 82188092933820 95886108422790 115063330107348 143829162634185 191772216845580 287658325268370 575316650536740