Search a number
-
+
2001888488000 = 26531931424849
BaseRepresentation
bin11101001000011001110…
…110100010101001000000
321002101020001100222111002
4131020121312202221000
5230244331423104000
64131353241511132
7264426443250002
oct35103166425100
97071201328432
102001888488000
11701aa5953875
12283b904a24a8
13116a148970ab
146cc6b5dc372
1537118bb48d5
hex1d219da2a40

2001888488000 has 224 divisors, whose sum is σ = 5386962048000. Its totient is φ = 734137344000.

The previous prime is 2001888487889. The next prime is 2001888488009. The reversal of 2001888488000 is 8848881002.

It is a super-2 number, since 2×20018884880002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001888488009) 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 31 ways as a sum of consecutive naturals, for example, 4499576 + ... + 4924424.

Almost surely, 22001888488000 is an apocalyptic number.

2001888488000 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 2001888488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693481024000).

2001888488000 is an abundant number, since it is smaller than the sum of its proper divisors (3385073560000).

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

2001888488000 is a wasteful number, since it uses less digits than its factorization.

2001888488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424926 (or 424906 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 47.

The spelling of 2001888488000 in words is "two trillion, one billion, eight hundred eighty-eight million, four hundred eighty-eight thousand".