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4813494773472 = 25327111311656937
BaseRepresentation
bin100011000001011101010…
…1001010110011011100000
3122001011110201121221222200
41012002322221112123200
51112331014130222342
614123142230133200
71004522613331050
oct106027251263340
918034421557880
104813494773472
111596434348410
12658a797b1200
1328bbab7bbc68
14128d8da25560
1585323d8394c
hex460baa566e0

4813494773472 has 288 divisors, whose sum is σ = 17196312317184. Its totient is φ = 1240713676800.

The previous prime is 4813494773449. The next prime is 4813494773473. The reversal of 4813494773472 is 2743774943184.

It is a happy number.

4813494773472 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 4 + 94 + 7 + 73 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4813494773473) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2076588 + ... + 3733524.

It is an arithmetic number, because the mean of its divisors is an integer number (59709417768).

Almost surely, 24813494773472 is an apocalyptic number.

4813494773472 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 4813494773472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598156158592).

4813494773472 is an abundant number, since it is smaller than the sum of its proper divisors (12382817543712).

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

4813494773472 is a wasteful number, since it uses less digits than its factorization.

4813494773472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657102 (or 1657091 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 63.

The spelling of 4813494773472 in words is "four trillion, eight hundred thirteen billion, four hundred ninety-four million, seven hundred seventy-three thousand, four hundred seventy-two".