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117910105641 = 3267688328409
BaseRepresentation
bin110110111001111111…
…1010110111000101001
3102021100100122222101200
41231303333112320221
53412434441340031
6130100034434413
711342631234636
oct1556377267051
9367310588350
10117910105641
11460071a95a9
121aa27a32a09
13b1712271a3
1459c796b18d
1531017878e6
hex1b73fd6e29

117910105641 has 24 divisors (see below), whose sum is σ = 172887804960. Its totient is φ = 77419526976.

The previous prime is 117910105637. The next prime is 117910105693. The reversal of 117910105641 is 146501019711.

117910105641 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 1 + 0 + 1 + 0 + 5 + 641 = 666.

It is not a de Polignac number, because 117910105641 - 22 = 117910105637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 117910105596 and 117910105605.

It is not an unprimeable number, because it can be changed into a prime (117910105141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4136245 + ... + 4164653.

It is an arithmetic number, because the mean of its divisors is an integer number (7203658540).

Almost surely, 2117910105641 is an apocalyptic number.

It is an amenable number.

117910105641 is a deficient number, since it is larger than the sum of its proper divisors (54977699319).

117910105641 is a wasteful number, since it uses less digits than its factorization.

117910105641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35365 (or 35362 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 117910105641 in words is "one hundred seventeen billion, nine hundred ten million, one hundred five thousand, six hundred forty-one".

Divisors: 1 3 9 67 201 603 6883 20649 28409 61947 85227 255681 461161 1383483 1903403 4150449 5710209 17130627 195539147 586617441 1759852323 13101122849 39303368547 117910105641