Search a number
-
+
115954129544 = 231110322035807
BaseRepresentation
bin110101111111101100…
…1111001101010001000
3102002022001011002121112
41223333121321222020
53344433224121134
6125134003225452
711243310560501
oct1537731715210
9362261132545
10115954129544
11451a30a0830
121a580978288
13ac1bc25096
14587dc91ba8
153039bbe1ce
hex1aff679a88

115954129544 has 64 divisors (see below), whose sum is σ = 239631575040. Its totient is φ = 52162032960.

The previous prime is 115954129531. The next prime is 115954129549. The reversal of 115954129544 is 445921459511.

It is a junction number, because it is equal to n+sod(n) for n = 115954129492 and 115954129501.

It is not an unprimeable number, because it can be changed into a prime (115954129549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19965089 + ... + 19970895.

It is an arithmetic number, because the mean of its divisors is an integer number (3744243360).

Almost surely, 2115954129544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115954129544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119815787520).

115954129544 is an abundant number, since it is smaller than the sum of its proper divisors (123677445496).

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

115954129544 is a wasteful number, since it uses less digits than its factorization.

115954129544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130 (or 8126 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 50.

The spelling of 115954129544 in words is "one hundred fifteen billion, nine hundred fifty-four million, one hundred twenty-nine thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 103 206 412 824 1133 2203 2266 4406 4532 5807 8812 9064 11614 17624 23228 24233 46456 48466 63877 96932 127754 193864 226909 255508 453818 511016 598121 907636 1196242 1815272 2392484 2495999 4784968 4991998 6579331 9983996 12792821 13158662 19967992 25585642 26317324 51171284 52634648 102342568 140721031 281442062 562884124 1125768248 1317660563 2635321126 5270642252 10541284504 14494266193 28988532386 57977064772 115954129544