Search a number
-
+
115181096448 = 293112976389
BaseRepresentation
bin110101101000101010…
…1000000111000000000
3102000022011112221120010
41223101111000320000
53341342330041243
6124525150344520
711215203110625
oct1532125007000
9360264487503
10115181096448
11449367a9600
121a3a5abb140
13ab27a24752
14580934634c
152ee1dc2433
hex1ad1540e00

115181096448 has 240 divisors, whose sum is σ = 340811467920. Its totient is φ = 34538127360.

The previous prime is 115181096423. The next prime is 115181096461. The reversal of 115181096448 is 844690181511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 115181096397 and 115181096406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18024838 + ... + 18031226.

It is an arithmetic number, because the mean of its divisors is an integer number (1420047783).

Almost surely, 2115181096448 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 115181096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170405733960).

115181096448 is an abundant number, since it is smaller than the sum of its proper divisors (225630371472).

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

115181096448 is an equidigital number, since it uses as much as digits as its factorization.

115181096448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 115181096448 in words is "one hundred fifteen billion, one hundred eighty-one million, ninety-six thousand, four hundred forty-eight".