Search a number
-
+
2448700540000 = 255411133171389
BaseRepresentation
bin100011101000100001111…
…011010000010001100000
322200002112011001222120121
4203220201323100101200
5310104414314240000
65112530102450024
7341625040110511
oct43504173202140
98602464058517
102448700540000
11864540687750
123366a8a33914
13149bb0666190
1486736962a08
1543a6a135b1a
hex23a21ed0460

2448700540000 has 960 divisors, whose sum is σ = 7427590410240. Its totient is φ = 782208000000.

The previous prime is 2448700539977. The next prime is 2448700540037. The reversal of 2448700540000 is 450078442.

It is a happy number.

It is a super-2 number, since 2×24487005400002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6294859806 + ... + 6294860194.

It is an arithmetic number, because the mean of its divisors is an integer number (7737073344).

Almost surely, 22448700540000 is an apocalyptic number.

2448700540000 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 2448700540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713795205120).

2448700540000 is an abundant number, since it is smaller than the sum of its proper divisors (4978889870240).

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

2448700540000 is a wasteful number, since it uses less digits than its factorization.

2448700540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The spelling of 2448700540000 in words is "two trillion, four hundred forty-eight billion, seven hundred million, five hundred forty thousand".