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2484432000000 = 210375671
BaseRepresentation
bin100100001001110011101…
…011111101010000000000
322210111202100010020000000
4210021303223331100000
5311201104043000000
65141155440000000
7344331353364336
oct44116353752000
98714670106000
102484432000000
11878707105485
123415bb300000
13150386292912
1488366275b56
154495c000000
hex24273afd400

2484432000000 has 1232 divisors, whose sum is σ = 9441666645120. Its totient is φ = 653184000000.

The previous prime is 2484431999989. The next prime is 2484432000013. The reversal of 2484432000000 is 2344842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34991999965 + ... + 34992000035.

Almost surely, 22484432000000 is an apocalyptic number.

2484432000000 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 2484432000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720833322560).

2484432000000 is an abundant number, since it is smaller than the sum of its proper divisors (6957234645120).

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

2484432000000 is an frugal number, since it uses more digits than its factorization.

2484432000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2484432000000 its reverse (2344842), we get a palindrome (2484434344842).

The spelling of 2484432000000 in words is "two trillion, four hundred eighty-four billion, four hundred thirty-two million", and thus it is an aban number.