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109581275040 = 25353171103723
BaseRepresentation
bin110011000001110001…
…1011000111110100000
3101110211220111112201020
41212003203120332200
53243410301300130
6122201351005440
710626345316656
oct1460343307640
9343756445636
10109581275040
1142522855926
12192a2669880
13a444830663
145437746dd6
152cb5485e10
hex19838d8fa0

109581275040 has 192 divisors, whose sum is σ = 361337905152. Its totient is φ = 27880473600.

The previous prime is 109581275039. The next prime is 109581275047. The reversal of 109581275040 is 40572185901.

It is a junction number, because it is equal to n+sod(n) for n = 109581274983 and 109581275001.

It is not an unprimeable number, because it can be changed into a prime (109581275047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004619 + ... + 1108341.

It is an arithmetic number, because the mean of its divisors is an integer number (1881968256).

Almost surely, 2109581275040 is an apocalyptic number.

109581275040 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 109581275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180668952576).

109581275040 is an abundant number, since it is smaller than the sum of its proper divisors (251756630112).

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

109581275040 is a wasteful number, since it uses less digits than its factorization.

109581275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103843 (or 103835 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 109581275040 in words is "one hundred nine billion, five hundred eighty-one million, two hundred seventy-five thousand, forty".