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32728154052 = 223112892511009
BaseRepresentation
bin11110011110101111…
…111111111111000100
310010110212210111011210
4132132233333333010
51014011401412202
623011325531420
72236014501516
oct363657777704
9103425714153
1032728154052
111297520a600
126414713b70
133117658539
1418268c9bb6
15cb83c0c6c
hex79ebfffc4

32728154052 has 144 divisors (see below), whose sum is σ = 85304923200. Its totient is φ = 9757440000.

The previous prime is 32728154051. The next prime is 32728154077. The reversal of 32728154052 is 25045182723.

It is a super-2 number, since 2×327281540522 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32728154052.

It is not an unprimeable number, because it can be changed into a prime (32728154051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32435724 + ... + 32436732.

It is an arithmetic number, because the mean of its divisors is an integer number (592395300).

Almost surely, 232728154052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32728154052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42652461600).

32728154052 is an abundant number, since it is smaller than the sum of its proper divisors (52576769148).

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

32728154052 is a wasteful number, since it uses less digits than its factorization.

32728154052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 32728154052 in words is "thirty-two billion, seven hundred twenty-eight million, one hundred fifty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 121 132 178 242 251 267 356 363 484 502 534 726 753 979 1004 1009 1068 1452 1506 1958 2018 2761 2937 3012 3027 3916 4036 5522 5874 6054 8283 10769 11044 11099 11748 12108 16566 21538 22198 22339 30371 32307 33132 33297 43076 44396 44678 60742 64614 66594 67017 89356 89801 91113 121484 122089 129228 133188 134034 179602 182226 244178 245729 253259 268068 269403 359204 364452 366267 488356 491458 506518 538806 732534 737187 759777 982916 987811 1013036 1077612 1465068 1474374 1519554 1975622 2703019 2785849 2948748 2963433 3039108 3951244 5406038 5571698 5926866 8109057 8357547 10812076 10865921 11143396 11853732 16218114 16715094 21731842 22540051 30644339 32436228 32597763 33430188 43463684 45080102 61288678 65195526 67620153 90160204 91933017 122577356 130391052 135240306 183866034 247940561 270480612 367732068 495881122 743821683 991762244 1487643366 2727346171 2975286732 5454692342 8182038513 10909384684 16364077026 32728154052