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328696180001280 = 2936571317257443
BaseRepresentation
bin100101010111100101000101…
…1000011000100101000000000
31121002211001021221021212000000
41022233022023003010220000
5321040324234040020110
63123024535052000000
7126143341521063240
oct11257121303045000
91532731257255000
10328696180001280
11958072a3578853
1230a47631760000
1311153bbc1cc860
145b24da117bb20
15280021e1961c0
hex12af28b0c4a00

328696180001280 has 4480 divisors, whose sum is σ = 1549316870373888. Its totient is φ = 64871051821056.

The previous prime is 328696180001261. The next prime is 328696180001281. The reversal of 328696180001280 is 82100081696823.

328696180001280 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 9 + 618 + 0 + 0 + 0 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (328696180001281) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 741977832739 + ... + 741977833181.

Almost surely, 2328696180001280 is an apocalyptic number.

328696180001280 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 328696180001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774658435186944).

328696180001280 is an abundant number, since it is smaller than the sum of its proper divisors (1220620690372608).

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

328696180001280 is a wasteful number, since it uses less digits than its factorization.

328696180001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 328696180001280 in words is "three hundred twenty-eight trillion, six hundred ninety-six billion, one hundred eighty million, one thousand, two hundred eighty".