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4084988984832 = 293717138116183
BaseRepresentation
bin111011011100011100010…
…100010011111000000000
3112110112001220110110112010
4323130130110103320000
51013412024140003312
612404341254532520
7601062556314030
oct73343424237000
915415056413463
104084988984832
111335485871908
1255b846667140
1323829c703482
14101a0090d8c0
15713d745693c
hex3b71c513e00

4084988984832 has 320 divisors, whose sum is σ = 13179290471424. Its totient is φ = 1097621176320.

The previous prime is 4084988984809. The next prime is 4084988984861. The reversal of 4084988984832 is 2384898894804.

It is a congruent number.

It is an unprimeable number.

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, 252416613 + ... + 252432795.

Almost surely, 24084988984832 is an apocalyptic number.

4084988984832 is a gapful number since it is divisible by the number (42) 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 4084988984832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589645235712).

4084988984832 is an abundant number, since it is smaller than the sum of its proper divisors (9094301486592).

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

4084988984832 is a wasteful number, since it uses less digits than its factorization.

4084988984832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17609 (or 17593 counting only the distinct ones).

The product of its (nonzero) digits is 1019215872, while the sum is 75.

The spelling of 4084988984832 in words is "four trillion, eighty-four billion, nine hundred eighty-eight million, nine hundred eighty-four thousand, eight hundred thirty-two".