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4820305341204 = 22341721931711231
BaseRepresentation
bin100011000100101000010…
…0101100110101100010100
3122001211001100220122120000
41012021100211212230110
51112433441131404304
614130230120211300
71005153442235463
oct106112045465424
918054040818500
104820305341204
111599309777791
1265a25a609b30
1328c72579a9b2
141294383509da
15855c1c2e939
hex46250966b14

4820305341204 has 720 divisors, whose sum is σ = 14761991946240. Its totient is φ = 1365807744000.

The previous prime is 4820305341197. The next prime is 4820305341251. The reversal of 4820305341204 is 4021435030284.

4820305341204 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 305 + 341 + 2 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 3915763269 + ... + 3915764499.

It is an arithmetic number, because the mean of its divisors is an integer number (20502766592).

Almost surely, 24820305341204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4820305341204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380995973120).

4820305341204 is an abundant number, since it is smaller than the sum of its proper divisors (9941686605036).

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

4820305341204 is a wasteful number, since it uses less digits than its factorization.

4820305341204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4820305341204 in words is "four trillion, eight hundred twenty billion, three hundred five million, three hundred forty-one thousand, two hundred four".