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117189961097733 = 3238941578052269
BaseRepresentation
bin11010101001010101101010…
…000000001010001000000101
3120100221020202212211100222200
4122221111222000022020011
5110330020020020111413
61053124154102545113
733453460324465326
oct3251255200121005
9510836685740880
10117189961097733
1134381a8a9a3897
1211188248a38199
135050c7315a7a4
1420d204ac8a44d
15d835a6d91573
hex6a956a00a205

117189961097733 has 24 divisors (see below), whose sum is σ = 169750387006200. Its totient is φ = 77907045681024.

The previous prime is 117189961097689. The next prime is 117189961097761. The reversal of 117189961097733 is 337790169981711.

It can be written as a sum of positive squares in 4 ways, for example, as 17538816315969 + 99651144781764 = 4187937^2 + 9982542^2 .

It is not a de Polignac number, because 117189961097733 - 228 = 117189692662277 is a prime.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117189961097533) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10527523 + ... + 18579791.

It is an arithmetic number, because the mean of its divisors is an integer number (7072932791925).

Almost surely, 2117189961097733 is an apocalyptic number.

It is an amenable number.

117189961097733 is a deficient number, since it is larger than the sum of its proper divisors (52560425908467).

117189961097733 is a wasteful number, since it uses less digits than its factorization.

117189961097733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056821 (or 8056818 counting only the distinct ones).

The product of its (nonzero) digits is 108020304, while the sum is 72.

The spelling of 117189961097733 in words is "one hundred seventeen trillion, one hundred eighty-nine billion, nine hundred sixty-one million, ninety-seven thousand, seven hundred thirty-three".

Divisors: 1 3 9 389 1167 3501 4157 12471 37413 1617073 4851219 8052269 14553657 24156807 72470421 3132332641 9396997923 28190993769 33473282233 100419846699 301259540097 13021106788637 39063320365911 117189961097733