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327925428480 = 28375139011
BaseRepresentation
bin1001100010110011110…
…00001111000100000000
31011100102200112210000000
410301121320033010000
520333042402202410
6410351420000000
732456204102616
oct4613170170400
91140380483000
10327925428480
111170883a0011
1253679690000
1324c0046a0a0
1411c2bc3d6b6
1587e40e4dc0
hex4c59e0f100

327925428480 has 576 divisors, whose sum is σ = 1268805968640. Its totient is φ = 80711147520.

The previous prime is 327925428473. The next prime is 327925428487. The reversal of 327925428480 is 84824529723.

327925428480 is a `hidden beast` number, since 3 + 2 + 7 + 92 + 54 + 28 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (327925428473) and next prime (327925428487).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3279254284802 (a number of 24 digits) contains 22 as substring.

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 (327925428487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36387175 + ... + 36396185.

It is an arithmetic number, because the mean of its divisors is an integer number (2202788140).

Almost surely, 2327925428480 is an apocalyptic number.

327925428480 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 327925428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634402984320).

327925428480 is an abundant number, since it is smaller than the sum of its proper divisors (940880540160).

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

327925428480 is an frugal number, since it uses more digits than its factorization.

327925428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9066 (or 9034 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 327925428480 in words is "three hundred twenty-seven billion, nine hundred twenty-five million, four hundred twenty-eight thousand, four hundred eighty".