Search a number
-
+
2189794572900 = 2235521163112983
BaseRepresentation
bin11111110111011001111…
…011010111101001100100
321202100020112211010100000
4133313121323113221210
5241334144402313100
64353551105221300
7314131102520214
oct37673173275144
97670215733300
102189794572900
11774760a48610
122b4491931830
1312b65c45b78c
1477db5416244
153be65516900
hex1fdd9ed7a64

2189794572900 has 432 divisors, whose sum is σ = 7778000176128. Its totient is φ = 529977168000.

The previous prime is 2189794572887. The next prime is 2189794572967. The reversal of 2189794572900 is 92754979812.

2189794572900 is a `hidden beast` number, since 2 + 1 + 8 + 97 + 9 + 457 + 2 + 90 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168659809 + ... + 168672791.

Almost surely, 22189794572900 is an apocalyptic number.

2189794572900 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 2189794572900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889000088064).

2189794572900 is an abundant number, since it is smaller than the sum of its proper divisors (5588205603228).

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

2189794572900 is a wasteful number, since it uses less digits than its factorization.

2189794572900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13654 (or 13635 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 2189794572900 in words is "two trillion, one hundred eighty-nine billion, seven hundred ninety-four million, five hundred seventy-two thousand, nine hundred".