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327891000000 = 26356109297
BaseRepresentation
bin1001100010101111101…
…00111001101011000000
31011100100021202122000010
410301113310321223000
520333010044000000
6410344150024520
732455305341214
oct4612764715300
91140307678003
10327891000000
1111706aa15423
125366a048140
1324bc62a44c5
1411c2743a944
1587e1093d50
hex4c57d39ac0

327891000000 has 196 divisors, whose sum is σ = 1084427212904. Its totient is φ = 87436800000.

The previous prime is 327890999981. The next prime is 327891000179. The reversal of 327891000000 is 198723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2945352 + ... + 3054648.

Almost surely, 2327891000000 is an apocalyptic number.

327891000000 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 327891000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542213606452).

327891000000 is an abundant number, since it is smaller than the sum of its proper divisors (756536212904).

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

327891000000 is an frugal number, since it uses more digits than its factorization.

327891000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109342 (or 109307 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 327891000000 its reverse (198723), we get a palindrome (327891198723).

The spelling of 327891000000 in words is "three hundred twenty-seven billion, eight hundred ninety-one million", and thus it is an aban number.