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108505223680 = 29574127139
BaseRepresentation
bin110010100001101101…
…0100101001000000000
3101101001220201110202011
41211003122211020000
53234204314124210
6121502511302304
710560601120000
oct1450332451000
9341056643664
10108505223680
1142020408587
121904221a994
13a302916489
145374880000
152c50c80d8a
hex19436a5200

108505223680 has 400 divisors, whose sum is σ = 308090280960. Its totient is φ = 36643332096.

The previous prime is 108505223669. The next prime is 108505223719. The reversal of 108505223680 is 86322505801.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 780613051 + ... + 780613189.

Almost surely, 2108505223680 is an apocalyptic number.

108505223680 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 108505223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154045140480).

108505223680 is an abundant number, since it is smaller than the sum of its proper divisors (199585057280).

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

108505223680 is an frugal number, since it uses more digits than its factorization.

108505223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 108505223680 in words is "one hundred eight billion, five hundred five million, two hundred twenty-three thousand, six hundred eighty".