Search a number
-
+
2003798995200 = 2835523797359
BaseRepresentation
bin11101001010001011101…
…110100011000100000000
321002120011012022210200000
4131022023232203010000
5230312240020321300
64132311010400000
7264525002300562
oct35121356430400
97076135283600
102003798995200
11702896326142
12284424290000
13116c5a639322
146cdad23d332
15371cb79ac00
hex1d28bba3100

2003798995200 has 1296 divisors, whose sum is σ = 7730296479360. Its totient is φ = 513111490560.

The previous prime is 2003798995157. The next prime is 2003798995207. The reversal of 2003798995200 is 25998973002.

2003798995200 is a `hidden beast` number, since 2 + 0 + 0 + 37 + 9 + 89 + 9 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (2003798995207) 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 143 ways as a sum of consecutive naturals, for example, 5581612621 + ... + 5581612979.

Almost surely, 22003798995200 is an apocalyptic number.

2003798995200 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 2003798995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865148239680).

2003798995200 is an abundant number, since it is smaller than the sum of its proper divisors (5726497484160).

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

2003798995200 is an equidigital number, since it uses as much as digits as its factorization.

2003798995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 2003798995200 in words is "two trillion, three billion, seven hundred ninety-eight million, nine hundred ninety-five thousand, two hundred".