Search a number
-
+
115300784928 = 25375915718523
BaseRepresentation
bin110101101100001110…
…1100101101100100000
3102000121111202202021210
41223120131211230200
53342114000104203
6124545103550120
711221155333630
oct1533035455440
9360544682253
10115300784928
11449983182aa
121a419bbb340
13ab4676c934
14581b1c06c0
152eec665803
hex1ad8765b20

115300784928 has 192 divisors, whose sum is σ = 354024760320. Its totient is φ = 32176714752.

The previous prime is 115300784881. The next prime is 115300784959. The reversal of 115300784928 is 829487003511.

115300784928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6215475 + ... + 6233997.

It is an arithmetic number, because the mean of its divisors is an integer number (1843878960).

Almost surely, 2115300784928 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 115300784928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177012380160).

115300784928 is an abundant number, since it is smaller than the sum of its proper divisors (238723975392).

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

115300784928 is a wasteful number, since it uses less digits than its factorization.

115300784928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18759 (or 18751 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 115300784928 in words is "one hundred fifteen billion, three hundred million, seven hundred eighty-four thousand, nine hundred twenty-eight".