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328896747981760 = 2657234336109979
BaseRepresentation
bin100101011001000010011110…
…1110101001100101111000000
31121010112012222212022221020111
41022302010331311030233000
5321102121014440404020
63123301025151521104
7126164002006560100
oct11262047565145700
91533465885287214
10328896747981760
1195884366a08102
1230a7a487529194
1311169aa40b634a
145b3098a86d200
15280555c410d5a
hex12b213dd4cbc0

328896747981760 has 168 divisors, whose sum is σ = 911317912112880. Its totient is φ = 112731733610496.

The previous prime is 328896747981757. The next prime is 328896747981773. The reversal of 328896747981760 is 67189747698823.

It is a super-3 number, since 3×3288967479817603 (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (85) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 50774451 + ... + 56884429.

Almost surely, 2328896747981760 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 328896747981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455658956056440).

328896747981760 is an abundant number, since it is smaller than the sum of its proper divisors (582421164131120).

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

328896747981760 is a wasteful number, since it uses less digits than its factorization.

328896747981760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6113443 (or 6113426 counting only the distinct ones).

The product of its (nonzero) digits is 12290310144, while the sum is 85.

The spelling of 328896747981760 in words is "three hundred twenty-eight trillion, eight hundred ninety-six billion, seven hundred forty-seven million, nine hundred eighty-one thousand, seven hundred sixty".