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5082959432166 = 23711611049171937
BaseRepresentation
bin100100111110111011111…
…1111011100100111100110
3122222221000011220221010220
41021331313333130213212
51131234400103312131
614451025045025210
71033142321204640
oct111756777344746
918887004827126
105082959432166
11168a7420a5850
126a11409b5206
132ab423378475
141380335a7890
158c34591de96
hex49f77fdc9e6

5082959432166 has 128 divisors (see below), whose sum is σ = 12894524697600. Its totient is φ = 1297360281600.

The previous prime is 5082959432149. The next prime is 5082959432231. The reversal of 5082959432166 is 6612349592805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29476950 + ... + 29648886.

It is an arithmetic number, because the mean of its divisors is an integer number (100738474200).

Almost surely, 25082959432166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082959432166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447262348800).

5082959432166 is an abundant number, since it is smaller than the sum of its proper divisors (7811565265434).

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

5082959432166 is a wasteful number, since it uses less digits than its factorization.

5082959432166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173070.

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 5082959432166 in words is "five trillion, eighty-two billion, nine hundred fifty-nine million, four hundred thirty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 61 66 77 122 154 183 231 366 427 462 671 854 1049 1281 1342 2013 2098 2562 3147 4026 4697 6294 7343 9394 11539 14091 14686 22029 23078 28182 34617 44058 63989 69234 80773 127978 161546 171937 191967 242319 343874 383934 447923 484638 515811 703879 895846 1031622 1203559 1343769 1407758 1891307 2111637 2407118 2687538 3610677 3782614 4223274 4927153 5673921 7221354 9854306 10488157 11347842 13239149 14781459 20976314 26478298 29562918 31464471 39717447 62928942 73417099 79434894 115369727 146834198 180361913 220251297 230739454 346109181 360723826 440502594 541085739 692218362 807588089 1082171478 1262533391 1615176178 1983981043 2422764267 2525066782 3787600173 3967962086 4845528534 5951943129 7575200346 11002076693 11903886258 13887867301 22004153386 27775734602 33006230079 41663601903 66012460158 77014536851 83327203806 121022843623 154029073702 231043610553 242045687246 363068530869 462087221106 726137061738 847159905361 1694319810722 2541479716083 5082959432166