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325151820000 = 253454753541
BaseRepresentation
bin1001011101101001000…
…11110000100011100000
31011002021101111212110000
410232310203300203200
520311402331220000
6405212255540000
732330364603540
oct4566443604340
91132241455400
10325151820000
111159947a89a7
125302482a600
132487a950537
1411a47729320
1586d0870000
hex4bb48f08e0

325151820000 has 1200 divisors, whose sum is σ = 1393991055072. Its totient is φ = 72783360000.

The previous prime is 325151819989. The next prime is 325151820001. The reversal of 325151820000 is 28151523.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325151820001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 601019730 + ... + 601020270.

Almost surely, 2325151820000 is an apocalyptic number.

325151820000 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 325151820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696995527536).

325151820000 is an abundant number, since it is smaller than the sum of its proper divisors (1068839235072).

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

325151820000 is an equidigital number, since it uses as much as digits as its factorization.

325151820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 325151820000 its reverse (28151523), we get a palindrome (325179971523).

The spelling of 325151820000 in words is "three hundred twenty-five billion, one hundred fifty-one million, eight hundred twenty thousand".