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132523328543840 = 2551326773149413
BaseRepresentation
bin11110001000011101111101…
…111011000001110001100000
3122101020002212121211122222122
4132020131331323001301200
5114332230234101400330
61145504213205523412
736625331423350433
oct3610357573016140
9571202777748878
10132523328543840
11392539120a5803
1212a43aaa713568
1358c3b86109500
1424a224024381a
15104c3812655e5
hex78877dec1c60

132523328543840 has 144 divisors (see below), whose sum is σ = 344082554354448. Its totient is φ = 48201366140928.

The previous prime is 132523328543839. The next prime is 132523328543861. The reversal of 132523328543840 is 48345823325231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34763027 + ... + 38386386.

It is an arithmetic number, because the mean of its divisors is an integer number (2389462183017).

Almost surely, 2132523328543840 is an apocalyptic number.

132523328543840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132523328543840 is an abundant number, since it is smaller than the sum of its proper divisors (211559225810608).

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

132523328543840 is a wasteful number, since it uses less digits than its factorization.

132523328543840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73149521 (or 73149500 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 53.

The spelling of 132523328543840 in words is "one hundred thirty-two trillion, five hundred twenty-three billion, three hundred twenty-eight million, five hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 67 80 104 130 134 160 169 208 260 268 335 338 416 520 536 670 676 845 871 1040 1072 1340 1352 1690 1742 2080 2144 2680 2704 3380 3484 4355 5360 5408 6760 6968 8710 10720 11323 13520 13936 17420 22646 27040 27872 34840 45292 56615 69680 90584 113230 139360 181168 226460 362336 452920 905840 1811680 73149413 146298826 292597652 365747065 585195304 731494130 950942369 1170390608 1462988260 1901884738 2340781216 2925976520 3803769476 4754711845 4901010671 5851953040 7607538952 9509423690 9802021342 11703906080 12362250797 15215077904 19018847380 19604042684 24505053355 24724501594 30430155808 38037694760 39208085368 49010106710 49449003188 61811253985 63713138723 76075389520 78416170736 98020213420 98898006376 123622507970 127426277446 152150779040 156832341472 196040426840 197796012752 247245015940 254852554892 318565693615 392080853680 395592025504 494490031880 509705109784 637131387230 784161707360 828270803399 988980063760 1019410219568 1274262774460 1656541606798 1977960127520 2038820439136 2548525548920 3313083213596 4141354016995 5097051097840 6626166427192 8282708033990 10194102195680 13252332854384 16565416067980 26504665708768 33130832135960 66261664271920 132523328543840