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132336021168 = 243213548312893
BaseRepresentation
bin111101100111111010…
…1110110111010110000
3110122120201120102020100
41323033311312322300
54132011010134133
6140443324112400
712363260422461
oct1731765667260
9418521512210
10132336021168
115113a26343a
1221793095700
13c62cb4c490
146595832d68
153697e9ce13
hex1ecfd76eb0

132336021168 has 120 divisors (see below), whose sum is σ = 398949746832. Its totient is φ = 40708191744.

The previous prime is 132336021163. The next prime is 132336021217. The reversal of 132336021168 is 861120633231.

132336021168 is a `hidden beast` number, since 1 + 3 + 2 + 33 + 602 + 1 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132336021163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10257730 + ... + 10270622.

Almost surely, 2132336021168 is an apocalyptic number.

132336021168 is a gapful number since it is divisible by the number (18) 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 132336021168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199474873416).

132336021168 is an abundant number, since it is smaller than the sum of its proper divisors (266613725664).

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

132336021168 is a wasteful number, since it uses less digits than its factorization.

132336021168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18403 (or 18394 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 132336021168 its reverse (861120633231), we get a palindrome (993456654399).

The spelling of 132336021168 in words is "one hundred thirty-two billion, three hundred thirty-six million, twenty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 5483 10966 12893 16449 21932 25786 32898 38679 43864 49347 51572 65796 71279 77358 87728 98694 103144 116037 131592 142558 154716 167609 197388 206288 213837 232074 263184 285116 309432 335218 394776 427674 464148 502827 570232 618864 641511 670436 789552 855348 928296 1005654 1140464 1283022 1340872 1508481 1710696 1856592 2011308 2566044 2681744 3016962 3421392 4022616 5132088 6033924 8045232 10264176 12067848 24135696 70692319 141384638 212076957 282769276 424153914 565538552 636230871 848307828 919000147 1131077104 1272461742 1696615656 1838000294 2544923484 2757000441 3393231312 3676000588 5089846968 5514000882 7352001176 8271001323 10179693936 11028001764 14704002352 16542002646 22056003528 33084005292 44112007056 66168010584 132336021168