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116756632406025 = 32528928320602627
BaseRepresentation
bin11010100011000010000101…
…100110011000100000001001
3120022101211021110110001000200
4122203002011212120200021
5110300420040343443100
61052153131221122413
733410250123414033
oct3243020546304011
9508354243401020
10116756632406025
1134225234177087
1211118273b59409
13501c14593a6c1
1420b90a0554c53
15d771944eee00
hex6a3085998809

116756632406025 has 72 divisors (see below), whose sum is σ = 212221078187040. Its totient is φ = 61352972017920.

The previous prime is 116756632405981. The next prime is 116756632406093. The reversal of 116756632406025 is 520604236657611.

116756632406025 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 5 + 6 + 6 + 3 + 24 + 0 + 602 + 5 = 666.

It is not a de Polignac number, because 116756632406025 - 26 = 116756632405961 is a prime.

It is a super-2 number, since 2×1167566324060252 (a number of 29 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 4634239 + ... + 15968388.

It is an arithmetic number, because the mean of its divisors is an integer number (2947514974820).

Almost surely, 2116756632406025 is an apocalyptic number.

116756632406025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116756632406025 is a deficient number, since it is larger than the sum of its proper divisors (95464445781015).

116756632406025 is a wasteful number, since it uses less digits than its factorization.

116756632406025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20603015 (or 20603007 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 116756632406025 in words is "one hundred sixteen trillion, seven hundred fifty-six billion, six hundred thirty-two million, four hundred six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 225 267 283 445 801 849 1335 1415 2225 2547 4005 4245 6675 7075 12735 20025 21225 25187 63675 75561 125935 226683 377805 629675 1133415 1889025 5667075 20602627 61807881 103013135 185423643 309039405 515065675 927118215 1545197025 1833633803 4635591075 5500901409 5830543441 9168169015 16502704227 17491630323 27504507045 29152717205 45840845075 52474890969 82513521135 87458151615 137522535225 145763586025 262374454845 412567605675 437290758075 518918366249 1311872274225 1556755098747 2594591831245 4670265296241 7783775493735 12972959156225 23351326481205 38918877468675 116756632406025