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2003074285320 = 23325295319318757
BaseRepresentation
bin11101001001100000100…
…001111111111100001000
321002111021200122201121100
4131021200201333330020
5230304244004112240
64132111041341400
7264501022333023
oct35114041777410
97074250581540
102003074285320
11702554239959
12284261637860
13116b73457b04
146cd40cb21ba
1537187d46e30
hex1d26087ff08

2003074285320 has 384 divisors, whose sum is σ = 6897459160800. Its totient is φ = 503354621952.

The previous prime is 2003074285307. The next prime is 2003074285351. The reversal of 2003074285320 is 235824703002.

2003074285320 is a `hidden beast` number, since 2 + 0 + 0 + 30 + 74 + 28 + 532 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 252729409284 + 1750344876036 = 502722^2 + 1323006^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106781382 + ... + 106800138.

Almost surely, 22003074285320 is an apocalyptic number.

2003074285320 is a gapful number since it is divisible by the number (20) 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 2003074285320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448729580400).

2003074285320 is an abundant number, since it is smaller than the sum of its proper divisors (4894384875480).

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

2003074285320 is a wasteful number, since it uses less digits than its factorization.

2003074285320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19049 (or 19042 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 2003074285320 its reverse (235824703002), we get a palindrome (2238898988322).

The spelling of 2003074285320 in words is "two trillion, three billion, seventy-four million, two hundred eighty-five thousand, three hundred twenty".