Search a number
-
+
132543425200 = 24521073798171
BaseRepresentation
bin111101101110000110…
…1000010101010110000
3110200010011211122002011
41323130031002222300
54132422104101300
6140520053332304
712401356345114
oct1733415025260
9420104748064
10132543425200
115123634312a
1221830637094
13c663ac9864
1465b51c1744
1536ab2baeba
hex1edc342ab0

132543425200 has 120 divisors (see below), whose sum is σ = 322299103680. Its totient is φ = 52376889600.

The previous prime is 132543425141. The next prime is 132543425221. The reversal of 132543425200 is 2524345231.

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, 16217115 + ... + 16225285.

It is an arithmetic number, because the mean of its divisors is an integer number (2685825864).

Almost surely, 2132543425200 is an apocalyptic number.

132543425200 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 132543425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161149551840).

132543425200 is an abundant number, since it is smaller than the sum of its proper divisors (189755678480).

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

132543425200 is a wasteful number, since it uses less digits than its factorization.

132543425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8675 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The spelling of 132543425200 in words is "one hundred thirty-two billion, five hundred forty-three million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 379 400 428 535 758 856 1070 1516 1712 1895 2140 2675 3032 3790 4280 5350 6064 7580 8171 8560 9475 10700 15160 16342 18950 21400 30320 32684 37900 40553 40855 42800 65368 75800 81106 81710 130736 151600 162212 163420 202765 204275 324424 326840 405530 408550 648848 653680 811060 817100 874297 1013825 1622120 1634200 1748594 2027650 3096809 3244240 3268400 3497188 4055300 4371485 6193618 6994376 8110600 8742970 12387236 13988752 15484045 16221200 17485940 21857425 24774472 30968090 34971880 43714850 49548944 61936180 69943760 77420225 87429700 123872360 154840450 174859400 247744720 309680900 331358563 349718800 619361800 662717126 1238723600 1325434252 1656792815 2650868504 3313585630 5301737008 6627171260 8283964075 13254342520 16567928150 26508685040 33135856300 66271712600 132543425200