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328050000000000 = 21038511
BaseRepresentation
bin100101010010111000001011…
…1101101111111010000000000
31121000112021101112121200000000
41022211300113231333100000
5320444232400000000000
63121412031200000000
7126045554546514045
oct11245602755772000
91530467345550000
10328050000000000
1195588250832843
1230962355300000
1311107ca004c705
145b019c1a631cc
1527dd500000000
hex12a5c17b7f400

328050000000000 has 1188 divisors, whose sum is σ = 1229524347991212. Its totient is φ = 87480000000000.

The previous prime is 328049999999971. The next prime is 328050000000013. The reversal of 328050000000000 is 50823.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 46895980548096 + 281154019451904 = 6848064^2 + 16767648^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 65609999999998 + ... + 65610000000002.

Almost surely, 2328050000000000 is an apocalyptic number.

328050000000000 is a gapful number since it is divisible by the number (30) 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 328050000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614762173995606).

328050000000000 is an abundant number, since it is smaller than the sum of its proper divisors (901474347991212).

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

328050000000000 is an frugal number, since it uses more digits than its factorization.

328050000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 328050000000000 its reverse (50823), we get a palindrome (328050000050823).

The spelling of 328050000000000 in words is "three hundred twenty-eight trillion, fifty billion", and thus it is an aban number.