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132098810116 = 227213219972
BaseRepresentation
bin111101100000110110…
…0111110000100000100
3110121222012012211211211
41323001230332010010
54131014243410431
6140404011541204
712354350234200
oct1730154760404
9417865184754
10132098810116
1151028375249
122172775a804
13c5c2966c00
146572125b00
1536822432b1
hex1ec1b3e104

132098810116 has 81 divisors (see below), whose sum is σ = 291338341119. Its totient is φ = 52232701248.

The previous prime is 132098810089. The next prime is 132098810149. The reversal of 132098810116 is 611018890231.

It is a happy number.

The square root of 132098810116 is 363454.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 95633088516 + 36465721600 = 309246^2 + 190960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66147630 + ... + 66149626.

Almost surely, 2132098810116 is an apocalyptic number.

132098810116 is the 363454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132098810116

132098810116 is an abundant number, since it is smaller than the sum of its proper divisors (159239531003).

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

132098810116 is an equidigital number, since it uses as much as digits as its factorization.

132098810116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The spelling of 132098810116 in words is "one hundred thirty-two billion, ninety-eight million, eight hundred ten thousand, one hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 1997 2366 2548 3994 4732 7988 8281 13979 16562 25961 27958 33124 51922 55916 97853 103844 181727 195706 337493 363454 391412 674986 726908 1272089 1349972 2362451 2544178 3988009 4724902 5088356 7976018 9449804 15952036 16537157 27916063 33074314 51844117 55832126 66148628 103688234 111664252 195412441 207376468 362908819 390824882 673973521 725817638 781649764 1347947042 1451635276 2540361733 2695894084 4717814647 5080723466 9435629294 10161446932 18871258588 33024702529 66049405058 132098810116