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328128529680 = 243257312371831
BaseRepresentation
bin1001100011001011111…
…11000000010100010000
31011100221211201101110200
410301211333000110100
520334001400422210
6410423513055200
732464221324450
oct4614577002420
91140854641420
10328128529680
11117182000a46
12537156b7500
1324c3356bb03
1411c4abcbd60
158806d630c0
hex4c65fc0510

328128529680 has 720 divisors, whose sum is σ = 1337225340672. Its totient is φ = 70581196800.

The previous prime is 328128529679. The next prime is 328128529693. The reversal of 328128529680 is 86925821823.

It is a happy number.

328128529680 is a `hidden beast` number, since 3 + 28 + 12 + 8 + 529 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179206365 + ... + 179208195.

Almost surely, 2328128529680 is an apocalyptic number.

328128529680 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 328128529680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668612670336).

328128529680 is an abundant number, since it is smaller than the sum of its proper divisors (1009096810992).

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

328128529680 is a wasteful number, since it uses less digits than its factorization.

328128529680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 328128529680 in words is "three hundred twenty-eight billion, one hundred twenty-eight million, five hundred twenty-nine thousand, six hundred eighty".