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5339099738448 = 24327219210120753
BaseRepresentation
bin100110110110001101100…
…1001001011000101010000
3200220102011001002122222100
41031230123021023011100
51144433434013112243
615204425404440400
71060510603660200
oct115543311130520
920812131078870
105339099738448
111779332680a93
12722905849100
132c96235b9988
141465b16ac400
1593d378380d3
hex4db1b24b150

5339099738448 has 540 divisors, whose sum is σ = 18527075087508. Its totient is φ = 1430792294400.

The previous prime is 5339099738431. The next prime is 5339099738477. The reversal of 5339099738448 is 8448379909335.

5339099738448 is a `hidden beast` number, since 5 + 3 + 3 + 90 + 9 + 97 + 3 + 8 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3680227865664 + 1658871872784 = 1918392^2 + 1287972^2 .

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

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 107 ways as a sum of consecutive naturals, for example, 257258440 + ... + 257279192.

Almost surely, 25339099738448 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 5339099738448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9263537543754).

5339099738448 is an abundant number, since it is smaller than the sum of its proper divisors (13187975349060).

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

5339099738448 is a wasteful number, since it uses less digits than its factorization.

5339099738448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20920 (or 20885 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 5339099738448 in words is "five trillion, three hundred thirty-nine billion, ninety-nine million, seven hundred thirty-eight thousand, four hundred forty-eight".