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2284543249920 = 29335378910037
BaseRepresentation
bin100001001111101001011…
…000111000111000000000
322002101210202011121201000
4201033221120320320000
5244412221032444140
64505301002212000
7324024053136201
oct41175130707000
98071722147630
102284543249920
11800962119a68
1230a914ab4000
1313757c0259c9
147c802c735a8
153e65d703a30
hex213e9638e00

2284543249920 has 640 divisors, whose sum is σ = 8428691779200. Its totient is φ = 586027892736.

The previous prime is 2284543249853. The next prime is 2284543249921. The reversal of 2284543249920 is 299423454822.

2284543249920 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 543 + 2 + 4 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284543249921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227607142 + ... + 227617178.

It is an arithmetic number, because the mean of its divisors is an integer number (13169830905).

Almost surely, 22284543249920 is an apocalyptic number.

2284543249920 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 2284543249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214345889600).

2284543249920 is an abundant number, since it is smaller than the sum of its proper divisors (6144148529280).

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

2284543249920 is a wasteful number, since it uses less digits than its factorization.

2284543249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195 (or 10173 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2284543249920 in words is "two trillion, two hundred eighty-four billion, five hundred forty-three million, two hundred forty-nine thousand, nine hundred twenty".