Search a number
-
+
115450676640 = 253251320033079
BaseRepresentation
bin110101110000101100…
…1011000010110100000
3102000222221211001001200
41223201121120112200
53342420333123030
6125012020401200
711224655362665
oct1534131302640
9360887731050
10115450676640
1144a64996152
121a460246200
13ab6b831460
14583307ba6c
15300a8c2d60
hex1ae16585a0

115450676640 has 288 divisors, whose sum is σ = 424630926720. Its totient is φ = 28395214848.

The previous prime is 115450676591. The next prime is 115450676681. The reversal of 115450676640 is 46676054511.

115450676640 is a `hidden beast` number, since 1 + 1 + 545 + 0 + 6 + 7 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37494621 + ... + 37497699.

It is an arithmetic number, because the mean of its divisors is an integer number (1474412940).

Almost surely, 2115450676640 is an apocalyptic number.

115450676640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115450676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212315463360).

115450676640 is an abundant number, since it is smaller than the sum of its proper divisors (309180250080).

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

115450676640 is a wasteful number, since it uses less digits than its factorization.

115450676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 115450676640 in words is "one hundred fifteen billion, four hundred fifty million, six hundred seventy-six thousand, six hundred forty".