Search a number
-
+
132064034654640 = 243511113442692527
BaseRepresentation
bin11110000001110010001101…
…110111111000100110110000
3122022121012100122100122011110
4132001302031313320212300
5114302214120332422030
61144513214023513320
736550211614613664
oct3601621567704660
9568535318318143
10132064034654640
11390970517298a0
121298aa89bb8840
13588c77b40c93a
142487d0d2b68a4
15104044e0e71b0
hex781c8ddf89b0

132064034654640 has 160 divisors (see below), whose sum is σ = 450568913458176. Its totient is φ = 31732200263680.

The previous prime is 132064034654639. The next prime is 132064034654663. The reversal of 132064034654640 is 46456430460231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 132064034654640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221047944 + ... + 221644583.

Almost surely, 2132064034654640 is an apocalyptic number.

132064034654640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132064034654640 is an abundant number, since it is smaller than the sum of its proper divisors (318504878803536).

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

132064034654640 is a wasteful number, since it uses less digits than its factorization.

132064034654640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442692667 (or 442692661 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 132064034654640 in words is "one hundred thirty-two trillion, sixty-four billion, thirty-four million, six hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 113 120 132 165 176 220 226 240 264 330 339 440 452 528 565 660 678 880 904 1130 1243 1320 1356 1695 1808 2260 2486 2640 2712 3390 3729 4520 4972 5424 6215 6780 7458 9040 9944 12430 13560 14916 18645 19888 24860 27120 29832 37290 49720 59664 74580 99440 149160 298320 442692527 885385054 1328077581 1770770108 2213462635 2656155162 3541540216 4426925270 4869617797 5312310324 6640387905 7083080432 8853850540 9739235594 10624620648 13280775810 14608853391 17707701080 19478471188 21249241296 24348088985 26561551620 29217706782 35415402160 38956942376 48696177970 50024255551 53123103240 58435413564 73044266955 77913884752 97392355940 100048511102 106246206480 116870827128 146088533910 150072766653 194784711880 200097022204 233741654256 250121277755 292177067820 300145533306 389569423760 400194044408 500242555510 550266811061 584354135640 600291066612 750363833265 800388088816 1000485111020 1100533622122 1168708271280 1200582133224 1500727666530 1650800433183 2000970222040 2201067244244 2401164266448 2751334055305 3001455333060 3301600866366 4001940444080 4402134488488 5502668110610 6002910666120 6603201732732 8254002165915 8804268976976 11005336221220 12005821332240 13206403465464 16508004331830 22010672442440 26412806930928 33016008663660 44021344884880 66032017327320 132064034654640