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132538812860000 = 25548167811429
BaseRepresentation
bin11110001000101100011000…
…110111000000011001100000
3122101021120211202022102112202
4132020230120313000121200
5114333003442043010000
61145515253504312332
736626420224022351
oct3610543067003140
9571246752272482
10132538812860000
113925a438641708
1212a46ab03126a8
1358c54830a8971
1424a2cac8d9d28
15104c98a845dd5
hex788b18dc0660

132538812860000 has 120 divisors (see below), whose sum is σ = 326105687088720. Its totient is φ = 53008968384000.

The previous prime is 132538812859997. The next prime is 132538812860053. The reversal of 132538812860000 is 68218835231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 162934286 + ... + 163745714.

It is an arithmetic number, because the mean of its divisors is an integer number (2717547392406).

Almost surely, 2132538812860000 is an apocalyptic number.

132538812860000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132538812860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163052843544360).

132538812860000 is an abundant number, since it is smaller than the sum of its proper divisors (193566874228720).

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

132538812860000 is an frugal number, since it uses more digits than its factorization.

132538812860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819626 (or 819603 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 132538812860000 in words is "one hundred thirty-two trillion, five hundred thirty-eight billion, eight hundred twelve million, eight hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 8167 10000 16334 20000 32668 40835 65336 81670 130672 163340 204175 261344 326680 408350 653360 811429 816700 1020875 1306720 1622858 1633400 2041750 3245716 3266800 4057145 4083500 5104375 6491432 6533600 8114290 8167000 10208750 12982864 16228580 16334000 20285725 20417500 25965728 32457160 32668000 40571450 40835000 64914320 81142900 81670000 101428625 129828640 162285800 163340000 202857250 324571600 405714500 507143125 649143200 811429000 1014286250 1622858000 2028572500 3245716000 4057145000 6626940643 8114290000 13253881286 16228580000 26507762572 33134703215 53015525144 66269406430 106031050288 132538812860 165673516075 212062100576 265077625720 331347032150 530155251440 662694064300 828367580375 1060310502880 1325388128600 1656735160750 2650776257200 3313470321500 4141837901875 5301552514400 6626940643000 8283675803750 13253881286000 16567351607500 26507762572000 33134703215000 66269406430000 132538812860000