Search a number
-
+
2045005532000 = 255323473131511
BaseRepresentation
bin11101110000100011110…
…101000000101101100000
321020111111221200202111122
4131300203311000231200
5232001132404011000
64203243525431412
7300514100133434
oct35604365005540
97214457622448
102045005532000
11719311345132
1229040426b568
1311aac6661492
1470d9bb5c9c4
15382de160085
hex1dc23d40b60

2045005532000 has 384 divisors, whose sum is σ = 5375254929408. Its totient is φ = 762837504000.

The previous prime is 2045005531913. The next prime is 2045005532027. The reversal of 2045005532000 is 2355005402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1353411245 + ... + 1353412755.

It is an arithmetic number, because the mean of its divisors is an integer number (13998059712).

Almost surely, 22045005532000 is an apocalyptic number.

2045005532000 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 2045005532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687627464704).

2045005532000 is an abundant number, since it is smaller than the sum of its proper divisors (3330249397408).

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

2045005532000 is a wasteful number, since it uses less digits than its factorization.

2045005532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The spelling of 2045005532000 in words is "two trillion, forty-five billion, five million, five hundred thirty-two thousand".