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108478224122944 = 261321724321372
BaseRepresentation
bin11000101010100100001110…
…000000111100010001000000
3112020002102020221202110210111
4120222210032000330101000
5103204301400333413234
61022414112545241104
731564202343140134
oct3052441600742100
9466072227673714
10108478224122944
11316233a15500a5
12101bb981933194
13486b5b65b8100
141cb05345d53c4
15c81b7a75b664
hex62a90e03c440

108478224122944 has 567 divisors, whose sum is σ = 255367970102637. Its totient is φ = 45689952043008.

The previous prime is 108478224122843. The next prime is 108478224122951. The reversal of 108478224122944 is 449221422874801.

The square root of 108478224122944 is 10415288.

It is a perfect power (a square), and thus also a powerful number.

108478224122944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 55032065089600 + 53446159033344 = 7418360^2 + 7310688^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 791811854844 + ... + 791811854980.

Almost surely, 2108478224122944 is an apocalyptic number.

108478224122944 is the 10415288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108478224122944

108478224122944 is an abundant number, since it is smaller than the sum of its proper divisors (146889745979693).

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

108478224122944 is an equidigital number, since it uses as much as digits as its factorization.

108478224122944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 58.

The spelling of 108478224122944 in words is "one hundred eight trillion, four hundred seventy-eight billion, two hundred twenty-four million, one hundred twenty-two thousand, nine hundred forty-four".