Search a number
-
+
11325132052000 = 255313435064907
BaseRepresentation
bin1010010011001101011001…
…1110010001011000100000
31111002200010220222020011021
42210303112132101120200
52441022332301131000
640030405511455224
72246133221055424
oct244632636213040
944080126866137
1011325132052000
113676a63885918
12132aa77987514
13641c55c42940
142b21d43d6b84
151498d542211a
hexa4cd6791620

11325132052000 has 192 divisors, whose sum is σ = 30663196147584. Its totient is φ = 4084340198400.

The previous prime is 11325132051971. The next prime is 11325132052033. The reversal of 11325132052000 is 25023152311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296454 + ... + 4768453.

It is an arithmetic number, because the mean of its divisors is an integer number (159704146602).

Almost surely, 211325132052000 is an apocalyptic number.

11325132052000 is a gapful number since it is divisible by the number (10) 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 11325132052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331598073792).

11325132052000 is an abundant number, since it is smaller than the sum of its proper divisors (19338064095584).

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

11325132052000 is a wasteful number, since it uses less digits than its factorization.

11325132052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064988 (or 5064970 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 11325132052000 in words is "eleven trillion, three hundred twenty-five billion, one hundred thirty-two million, fifty-two thousand".