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9999678210048 = 215366472
BaseRepresentation
bin1001000110000011101101…
…0001001000000000000000
31022101221220202201122000000
42101200323101020000000
52302313320110210143
633133442212000000
72051311230232212
oct221407321100000
938357822648000
109999678210048
11320592672750a
121156008000000
13576c7259b677
14267db64c65b2
151251aba7cbd3
hex9183b448000

9999678210048 has 336 divisors, whose sum is σ = 30031276192035. Its totient is φ = 3328074252288.

The previous prime is 9999678210031. The next prime is 9999678210073. The reversal of 9999678210048 is 8400128769999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4999839105024 + 4999839105024 = 2236032^2 + 2236032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2236032.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 15455452861 + ... + 15455453507.

Almost surely, 29999678210048 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 9999678210048

9999678210048 is an abundant number, since it is smaller than the sum of its proper divisors (20031597981987).

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

9999678210048 is an frugal number, since it uses more digits than its factorization.

9999678210048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

Multiplying 9999678210048 by its sum of digits (72), we get a square (719976831123456 = 268323842).

9999678210048 divided by its sum of digits (72) gives a square (138884419584 = 3726722).

The spelling of 9999678210048 in words is "nine trillion, nine hundred ninety-nine billion, six hundred seventy-eight million, two hundred ten thousand, forty-eight".