Search a number
-
+
2124055452000 = 253531011752521
BaseRepresentation
bin11110111010001011100…
…100100001100101100000
321112001120002001202202110
4132322023210201211200
5234300031143431000
64303435543515320
7306313034306466
oct36721344414540
97461502052673
102124055452000
11749896a24029
122a37a5a58b40
131253b39b6c81
1474b3a662836
153a3b900d850
hex1ee8b921960

2124055452000 has 192 divisors, whose sum is σ = 7027304776128. Its totient is φ = 560806400000.

The previous prime is 2124055451951. The next prime is 2124055452007. The reversal of 2124055452000 is 2545504212.

It is a super-2 number, since 2×21240554520002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124055452007) by changing a digit.

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, 335740 + ... + 2088260.

It is an arithmetic number, because the mean of its divisors is an integer number (36600545709).

Almost surely, 22124055452000 is an apocalyptic number.

2124055452000 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 2124055452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513652388064).

2124055452000 is an abundant number, since it is smaller than the sum of its proper divisors (4903249324128).

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

2124055452000 is a wasteful number, since it uses less digits than its factorization.

2124055452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752650 (or 1752632 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 2124055452000 in words is "two trillion, one hundred twenty-four billion, fifty-five million, four hundred fifty-two thousand".