Search a number
-
+
108894006720 = 26335472291171
BaseRepresentation
bin110010101101010010…
…1101010110111000000
3101102002000021200211000
41211122211222313000
53241003331203340
6122005240252000
710603331533152
oct1453245526700
9342060250730
10108894006720
11421aa911a84
1219130471000
13a36532b305
1453b0364ad2
152c74e7ad30
hex195a96adc0

108894006720 has 448 divisors, whose sum is σ = 394377062400. Its totient is φ = 28272291840.

The previous prime is 108894006619. The next prime is 108894006743. The reversal of 108894006720 is 27600498801.

108894006720 is a `hidden beast` number, since 108 + 89 + 400 + 67 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92991735 + ... + 92992905.

Almost surely, 2108894006720 is an apocalyptic number.

108894006720 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 108894006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197188531200).

108894006720 is an abundant number, since it is smaller than the sum of its proper divisors (285483055680).

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

108894006720 is a wasteful number, since it uses less digits than its factorization.

108894006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 108894006720 in words is "one hundred eight billion, eight hundred ninety-four million, six thousand, seven hundred twenty".