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108482418240 = 263571719234153
BaseRepresentation
bin110010100001000001…
…1100101011001000000
3101101000022210211120020
41211002003211121000
53234132444340430
6121500334413440
710560203224560
oct1450203453100
9341008724506
10108482418240
1142009551509
1219036661280
13a2cac90131
145371824da0
152c4dc78b10
hex19420e5640

108482418240 has 1792 divisors, whose sum is σ = 477817159680. Its totient is φ = 20242759680.

The previous prime is 108482418227. The next prime is 108482418241. The reversal of 108482418240 is 42814284801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 108482418192 and 108482418201.

It is not an unprimeable number, because it can be changed into a prime (108482418241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2046838054 + ... + 2046838106.

It is an arithmetic number, because the mean of its divisors is an integer number (266639040).

Almost surely, 2108482418240 is an apocalyptic number.

108482418240 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 108482418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238908579840).

108482418240 is an abundant number, since it is smaller than the sum of its proper divisors (369334741440).

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

108482418240 is a wasteful number, since it uses less digits than its factorization.

108482418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The spelling of 108482418240 in words is "one hundred eight billion, four hundred eighty-two million, four hundred eighteen thousand, two hundred forty".