Search a number
-
+
109575304272 = 243272329792063
BaseRepresentation
bin110011000001100110…
…0100111010001010000
3101110211111021012100200
41212003030213101100
53243402234214042
6122201015015200
710626243501330
oct1460314472120
9343744235320
10109575304272
114251a447a05
12192a066a500
13a44351ca65
145436a310c0
152cb4ba6c4c
hex1983327450

109575304272 has 480 divisors, whose sum is σ = 383289753600. Its totient is φ = 28533593088.

The previous prime is 109575304259. The next prime is 109575304297. The reversal of 109575304272 is 272403575901.

It is a happy number.

109575304272 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 7 + 530 + 42 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53113513 + ... + 53115575.

It is an arithmetic number, because the mean of its divisors is an integer number (798520320).

Almost surely, 2109575304272 is an apocalyptic number.

109575304272 is a gapful number since it is divisible by the number (12) 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 109575304272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191644876800).

109575304272 is an abundant number, since it is smaller than the sum of its proper divisors (273714449328).

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

109575304272 is a wasteful number, since it uses less digits than its factorization.

109575304272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 109575304272 in words is "one hundred nine billion, five hundred seventy-five million, three hundred four thousand, two hundred seventy-two".