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38433084304848 = 2431439556420609
BaseRepresentation
bin10001011110100011001100…
…10101100110110111010000
312001002011111201121100120020
420233101212111212313100
520014141424040223343
6213423525402543440
711044461441303642
oct1057214625466720
9161064451540506
1038433084304848
111127841a161592
12438870a207b80
13185a2bba2798c
1496c257b06892
15469aece09b83
hex22f466566dd0

38433084304848 has 40 divisors (see below), whose sum is σ = 99354464121600. Its totient is φ = 12802125348864.

The previous prime is 38433084304841. The next prime is 38433084304859. The reversal of 38433084304848 is 84840348033483.

It is a happy number.

38433084304848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38433084304791 and 38433084304800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38433084304841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278141233 + ... + 278279376.

It is an arithmetic number, because the mean of its divisors is an integer number (2483861603040).

Almost surely, 238433084304848 is an apocalyptic number.

It is an amenable number.

38433084304848 is an abundant number, since it is smaller than the sum of its proper divisors (60921379816752).

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

38433084304848 is a wasteful number, since it uses less digits than its factorization.

38433084304848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556422059 (or 556422053 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 60.

The spelling of 38433084304848 in words is "thirty-eight trillion, four hundred thirty-three billion, eighty-four million, three hundred four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1439 2878 4317 5756 8634 11512 17268 23024 34536 69072 556420609 1112841218 1669261827 2225682436 3338523654 4451364872 6677047308 8902729744 13354094616 26708189232 800689256351 1601378512702 2402067769053 3202757025404 4804135538106 6405514050808 9608271076212 12811028101616 19216542152424 38433084304848