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328550400000 = 21432552331
BaseRepresentation
bin1001100011111110010…
…00010100000000000000
31011102001020112121202100
410301333020110000000
520340332400300000
6410533423150400
732510533215204
oct4617710240000
91142036477670
10328550400000
111173791543a9
1253812a45400
1324c9ca99c14
1411c8ac46b04
15882dde6a00
hex4c7f214000

328550400000 has 1080 divisors, whose sum is σ = 1277831213568. Its totient is φ = 81100800000.

The previous prime is 328550399993. The next prime is 328550400001. The reversal of 328550400000 is 4055823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328550400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10598399985 + ... + 10598400015.

Almost surely, 2328550400000 is an apocalyptic number.

328550400000 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 328550400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638915606784).

328550400000 is an abundant number, since it is smaller than the sum of its proper divisors (949280813568).

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

328550400000 is an frugal number, since it uses more digits than its factorization.

328550400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 328550400000 its reverse (4055823), we get a palindrome (328554455823).

The spelling of 328550400000 in words is "three hundred twenty-eight billion, five hundred fifty million, four hundred thousand".