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108018247680 = 211335755813
BaseRepresentation
bin110010010011001100…
…0111010100000000000
3101022210222101112021000
41210212120322200000
53232210132411210
6121342313532000
710542535645620
oct1444630724000
9338728345230
10108018247680
11418a0537282
1218b27114000
13a255a714b5
145329d18880
152c2313bac0
hex192663a800

108018247680 has 384 divisors, whose sum is σ = 438831993600. Its totient is φ = 24689442816.

The previous prime is 108018247661. The next prime is 108018247681. The reversal of 108018247680 is 86742810801.

108018247680 is a `hidden beast` number, since 10 + 80 + 18 + 2 + 476 + 80 = 666.

108018247680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (108018247681) 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 31 ways as a sum of consecutive naturals, for example, 1907454 + ... + 1963266.

It is an arithmetic number, because the mean of its divisors is an integer number (1142791650).

Almost surely, 2108018247680 is an apocalyptic number.

108018247680 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 108018247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219415996800).

108018247680 is an abundant number, since it is smaller than the sum of its proper divisors (330813745920).

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

108018247680 is an equidigital number, since it uses as much as digits as its factorization.

108018247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55856 (or 55830 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 108018247680 in words is "one hundred eight billion, eighteen million, two hundred forty-seven thousand, six hundred eighty".