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32678898170116 = 22112197213192
BaseRepresentation
bin1110110111000101001100…
…00111011111100100000100
311021201001221121012222111011
413123202212013133210010
513240402340412420431
6153300251212052004
76611654363210002
oct733424607374404
9137631847188434
1032678898170116
11a45a052097400
1237b9480a64004
1315307b73c4083
1480d94a7a1a72
153ba0be4e9cb1
hex1db8a61df904

32678898170116 has 81 divisors (see below), whose sum is σ = 63228256653877. Its totient is φ = 14767438950880.

The previous prime is 32678898170111. The next prime is 32678898170117. The reversal of 32678898170116 is 61107189887623.

The square root of 32678898170116 is 5716546.

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

It can be written as a sum of positive squares in only one way, i.e., 32018735420100 + 660162750016 = 5658510^2 + 812504^2 .

It is a super-2 number, since 2×326788981701162 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32678898170111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24775509705 + ... + 24775511023.

Almost surely, 232678898170116 is an apocalyptic number.

32678898170116 is the 5716546-th square number.

It is an amenable number.

32678898170116 is a deficient number, since it is larger than the sum of its proper divisors (30549358483761).

32678898170116 is an equidigital number, since it uses as much as digits as its factorization.

32678898170116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 67.

The spelling of 32678898170116 in words is "thirty-two trillion, six hundred seventy-eight billion, eight hundred ninety-eight million, one hundred seventy thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 44 121 197 242 394 484 788 1319 2167 2638 4334 5276 8668 14509 23837 29018 38809 47674 58036 77618 95348 155236 159599 259843 319198 426899 519686 638396 853798 1039372 1707596 1739761 2858273 3479522 4695889 5716546 6959044 9391778 11433092 18783556 19137371 31441003 38274742 51189071 62882006 76549484 102378142 125764012 204756284 210511081 342732917 421022162 563079781 685465834 842044324 1126159562 1370931668 2252319124 3770062087 6193877591 7540124174 12387755182 15080248348 24775510364 41470682957 67518384649 82941365914 135036769298 165882731828 270073538596 742702231139 1485404462278 2970808924556 8169724542529 16339449085058 32678898170116