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2075373840384 = 21138131092
BaseRepresentation
bin11110001100110101111…
…010111010100000000000
321100101220101000200000000
4132030311322322200000
5233000331200343014
64225225200000000
7302640461401605
oct36146572724000
97311811020000
102075373840384
11730185478759
1229627a600000
1312092611cc20
147263d07c6ac
1538eba28c509
hex1e335eba800

2075373840384 has 648 divisors, whose sum is σ = 6765136699230. Its totient is φ = 632718065664.

The previous prime is 2075373840349. The next prime is 2075373840403. The reversal of 2075373840384 is 4830483735702.

2075373840384 is a `hidden beast` number, since 2 + 0 + 7 + 537 + 38 + 40 + 38 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1781904614400 + 293469225984 = 1334880^2 + 541728^2 .

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2075373840384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19040126922 + ... + 19040127030.

Almost surely, 22075373840384 is an apocalyptic number.

2075373840384 is a gapful number since it is divisible by the number (24) 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 2075373840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382568349615).

2075373840384 is an abundant number, since it is smaller than the sum of its proper divisors (4689762858846).

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

2075373840384 is an frugal number, since it uses more digits than its factorization.

2075373840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 2075373840384 in words is "two trillion, seventy-five billion, three hundred seventy-three million, eight hundred forty thousand, three hundred eighty-four".