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1231638168384 = 263213208978737
BaseRepresentation
bin10001111011000011010…
…110110000001101000000
311100202001222111120220200
4101323003112300031000
5130134343332342014
62341450132205200
7154661066461011
oct21730326601500
94322058446820
101231638168384
11435375701298
1217a849169800
138c1b218a7c0
144387c361008
1522087552a09
hex11ec35b0340

1231638168384 has 168 divisors, whose sum is σ = 3803695775880. Its totient is φ = 378779369472.

The previous prime is 1231638168361. The next prime is 1231638168389. The reversal of 1231638168384 is 4838618361321.

1231638168384 is a `hidden beast` number, since 1 + 23 + 163 + 81 + 6 + 8 + 384 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31456569600 + 1200181598784 = 177360^2 + 1095528^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1231638168384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231638168389) 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 23 ways as a sum of consecutive naturals, for example, 15603064 + ... + 15681800.

It is an arithmetic number, because the mean of its divisors is an integer number (22641046285).

Almost surely, 21231638168384 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 1231638168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901847887940).

1231638168384 is an abundant number, since it is smaller than the sum of its proper divisors (2572057607496).

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

1231638168384 is a wasteful number, since it uses less digits than its factorization.

1231638168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80857 (or 80844 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 1231638168384 in words is "one trillion, two hundred thirty-one billion, six hundred thirty-eight million, one hundred sixty-eight thousand, three hundred eighty-four".