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2339421207552 = 2103211135333493
BaseRepresentation
bin100010000010110000010…
…111101011110000000000
322021122110021201201020100
4202002300113223300000
5301312113312120202
64550414255242400
7331006016110602
oct42026027536000
98248407651210
102339421207552
11822163312860
1231948b519400
1313c7b65638a0
148132b377172
1540cc144441c
hex220b05ebc00

2339421207552 has 528 divisors, whose sum is σ = 8085953742048. Its totient is φ = 642017525760.

The previous prime is 2339421207463. The next prime is 2339421207569. The reversal of 2339421207552 is 2557021249332.

2339421207552 is a `hidden beast` number, since 2 + 3 + 3 + 94 + 2 + 1 + 2 + 0 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 2339421207498 and 2339421207507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69831318 + ... + 69864810.

Almost surely, 22339421207552 is an apocalyptic number.

2339421207552 is a gapful number since it is divisible by the number (22) 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 2339421207552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042976871024).

2339421207552 is an abundant number, since it is smaller than the sum of its proper divisors (5746532534496).

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

2339421207552 is a wasteful number, since it uses less digits than its factorization.

2339421207552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33596 (or 33575 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2339421207552 in words is "two trillion, three hundred thirty-nine billion, four hundred twenty-one million, two hundred seven thousand, five hundred fifty-two".