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41688530829882 = 2342943533893671
BaseRepresentation
bin10010111101010010111100…
…00100100100001000111010
312110121101101101120121220000
421132221132010210020322
520431011102343024012
6224355240252013430
711531616441222366
oct1136513604441072
9173541341517800
1041688530829882
1112313008921372
124813624761276
131a35299b26431
14a41a429082a6
154c46336c2ddc
hex25ea5e12423a

41688530829882 has 160 divisors (see below), whose sum is σ = 100747361278080. Its totient is φ = 12857708223360.

The previous prime is 41688530829857. The next prime is 41688530829899. The reversal of 41688530829882 is 28892803588614.

It is a happy number.

41688530829882 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 8 + 530 + 8 + 2 + 9 + 8 + 82 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41688530829882.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8759907 + ... + 12653577.

It is an arithmetic number, because the mean of its divisors is an integer number (629671007988).

Almost surely, 241688530829882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41688530829882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50373680639040).

41688530829882 is an abundant number, since it is smaller than the sum of its proper divisors (59058830448198).

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

41688530829882 is a wasteful number, since it uses less digits than its factorization.

41688530829882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893810 (or 3893801 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 41688530829882 in words is "forty-one trillion, six hundred eighty-eight billion, five hundred thirty million, eight hundred twenty-nine thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 29 43 53 54 58 81 86 87 106 129 159 162 174 258 261 318 387 477 522 774 783 954 1161 1247 1431 1537 1566 2279 2322 2349 2494 2862 3074 3483 3741 4293 4558 4611 4698 6837 6966 7482 8586 9222 11223 13674 13833 20511 22446 27666 33669 41022 41499 61533 66091 67338 82998 101007 123066 124497 132182 184599 198273 202014 248994 369198 396546 594819 1189638 1784457 3568914 3893671 5353371 7787342 10706742 11681013 23362026 35043039 70086078 105129117 112916459 167427853 206364563 210258234 225832918 315387351 334855706 338749377 412729126 502283559 619093689 630774702 677498754 1004567118 1016248131 1238187378 1506850677 1857281067 2032496262 3013701354 3048744393 3714562134 4520552031 4855407737 5571843201 5984572327 6097488786 8873676209 9041104062 9146233179 9710815474 11143686402 11969144654 13561656093 14566223211 16715529603 17747352418 17953716981 18292466358 26621028627 27123312186 29132446422 33431059206 35907433962 43698669633 53242057254 53861150943 79863085881 87397339266 107722301886 131096008899 159726171762 161583452829 239589257643 257336610061 262192017798 323166905658 393288026697 479178515286 484750358487 514673220122 718767772929 772009830183 786576053394 969500716974 1437535545858 1544019660366 2316029490549 4632058981098 6948088471647 13896176943294 20844265414941 41688530829882