Search a number
-
+
2200041179136 = 211321743269607
BaseRepresentation
bin100000000000111100101…
…011000100100000000000
321210022200122121122121200
4200000330223010200000
5242021141020213021
64402403541421200
7314643033320613
oct40007453044000
97708618548550
102200041179136
11779039988529
122b647140a800
1312c6032709a8
14786a821017a
153c364d88126
hex2003cac4800

2200041179136 has 576 divisors, whose sum is σ = 6921333619200. Its totient is φ = 670544953344.

The previous prime is 2200041179113. The next prime is 2200041179213. The reversal of 2200041179136 is 6319711400022.

2200041179136 is a `hidden beast` number, since 2 + 200 + 0 + 411 + 7 + 9 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2200041179136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3624449745 + ... + 3624450351.

It is an arithmetic number, because the mean of its divisors is an integer number (12016204200).

Almost surely, 22200041179136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200041179136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460666809600).

2200041179136 is an abundant number, since it is smaller than the sum of its proper divisors (4721292440064).

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

2200041179136 is a wasteful number, since it uses less digits than its factorization.

2200041179136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 2200041179136 its reverse (6319711400022), we get a palindrome (8519752579158).

The spelling of 2200041179136 in words is "two trillion, two hundred billion, forty-one million, one hundred seventy-nine thousand, one hundred thirty-six".