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109479245040 = 243251119969463
BaseRepresentation
bin110010111110101111…
…0001011010011110000
3101110120210111212212100
41211331132023103300
53243203141320130
6122143304100400
710623666141264
oct1457536132360
9343523455770
10109479245040
11424801a8210
1219274464700
13a429658b89
145427d880a4
152cab52ec60
hex197d78b4f0

109479245040 has 240 divisors, whose sum is σ = 403113484800. Its totient is φ = 26406673920.

The previous prime is 109479245027. The next prime is 109479245087. The reversal of 109479245040 is 40542974901.

109479245040 is a `hidden beast` number, since 1 + 0 + 94 + 79 + 2 + 450 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1541349 + ... + 1610811.

It is an arithmetic number, because the mean of its divisors is an integer number (1679639520).

Almost surely, 2109479245040 is an apocalyptic number.

109479245040 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 109479245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201556742400).

109479245040 is an abundant number, since it is smaller than the sum of its proper divisors (293634239760).

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

109479245040 is a wasteful number, since it uses less digits than its factorization.

109479245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69692 (or 69683 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 109479245040 in words is "one hundred nine billion, four hundred seventy-nine million, two hundred forty-five thousand, forty".