Search a number
-
+
2047975200000 = 2832552383149
BaseRepresentation
bin11101110011010100110…
…101011001010100000000
321020210011220122112011100
4131303110311121110000
5232023223122400000
64204454332014400
7300650506655562
oct35632465312400
97223156575140
102047975200000
1171a5a5678704
12290ab2901400
1311b17a985892
14711a030b332
1538414c11a00
hex1dcd4d59500

2047975200000 has 1296 divisors, whose sum is σ = 7846541539200. Its totient is φ = 512624640000.

The previous prime is 2047975199993. The next prime is 2047975200001. The reversal of 2047975200000 is 25797402.

2047975200000 is a `hidden beast` number, since 2 + 0 + 47 + 97 + 520 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047975200001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 13744799926 + ... + 13744800074.

It is an arithmetic number, because the mean of its divisors is an integer number (6054430200).

Almost surely, 22047975200000 is an apocalyptic number.

2047975200000 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 2047975200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923270769600).

2047975200000 is an abundant number, since it is smaller than the sum of its proper divisors (5798566339200).

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

2047975200000 is an equidigital number, since it uses as much as digits as its factorization.

2047975200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 2047975200000 in words is "two trillion, forty-seven billion, nine hundred seventy-five million, two hundred thousand".