Search a number
-
+
2643122325000 = 233557126991
BaseRepresentation
bin100110011101100110010…
…111100000011000001000
3100100200100201221222122110
4212131212113200120020
5321301103303400000
65342122244222320
7361650015033153
oct46354627403010
910320321858573
102643122325000
11929a3a712403
1236830839a9a0
131623260b7901
1491cdbc6ac9a
1548b489da850
hex267665e0608

2643122325000 has 288 divisors, whose sum is σ = 8378392498560. Its totient is φ = 694806000000.

The previous prime is 2643122324963. The next prime is 2643122325013. The reversal of 2643122325000 is 5232213462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 378071505 + ... + 378078495.

It is an arithmetic number, because the mean of its divisors is an integer number (29091640620).

Almost surely, 22643122325000 is an apocalyptic number.

2643122325000 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 2643122325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189196249280).

2643122325000 is an abundant number, since it is smaller than the sum of its proper divisors (5735270173560).

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

2643122325000 is an frugal number, since it uses more digits than its factorization.

2643122325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7167 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 2643122325000 its reverse (5232213462), we get a palindrome (2648354538462).

The spelling of 2643122325000 in words is "two trillion, six hundred forty-three billion, one hundred twenty-two million, three hundred twenty-five thousand".