Search a number
-
+
109373468400 = 243352723159113
BaseRepresentation
bin110010111011100101…
…0101010111011110000
3101110022102110212121000
41211313022222323300
53242444101442100
6122125005002000
710621243066500
oct1456712527360
9343272425530
10109373468400
11424265206a9
1219244b53300
13a410771c51
145417cd1a00
152ca20d8900
hex19772aaef0

109373468400 has 1440 divisors, whose sum is σ = 479583590400. Its totient is φ = 23572684800.

The previous prime is 109373468279. The next prime is 109373468417. The reversal of 109373468400 is 4864373901.

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 287 ways as a sum of consecutive naturals, for example, 967906744 + ... + 967906856.

It is an arithmetic number, because the mean of its divisors is an integer number (333044160).

Almost surely, 2109373468400 is an apocalyptic number.

109373468400 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 109373468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239791795200).

109373468400 is an abundant number, since it is smaller than the sum of its proper divisors (370210122000).

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

109373468400 is a wasteful number, since it uses less digits than its factorization.

109373468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 109373468400 in words is "one hundred nine billion, three hundred seventy-three million, four hundred sixty-eight thousand, four hundred".