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108826391808 = 2833193126731
BaseRepresentation
bin110010101011010001…
…1101111010100000000
3101101220022001111121000
41211112203233110000
53240334024014213
6121554423132000
710601551032141
oct1452643572400
9341808044530
10108826391808
114217572a992
12191118a4000
13a3543162a4
1453a53a3ac8
152c6e071c73
hex19568ef500

108826391808 has 288 divisors, whose sum is σ = 349697331200. Its totient is φ = 33256396800.

The previous prime is 108826391797. The next prime is 108826391809. The reversal of 108826391808 is 808193628801.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108826391809) 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, 4057803 + ... + 4084533.

Almost surely, 2108826391808 is an apocalyptic number.

108826391808 is a gapful number since it is divisible by the number (18) 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 108826391808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174848665600).

108826391808 is an abundant number, since it is smaller than the sum of its proper divisors (240870939392).

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

108826391808 is a wasteful number, since it uses less digits than its factorization.

108826391808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26806 (or 26786 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 108826391808 in words is "one hundred eight billion, eight hundred twenty-six million, three hundred ninety-one thousand, eight hundred eight".