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1326048000000 = 21135619727
BaseRepresentation
bin10011010010111110100…
…111101011100000000000
311200202202120020221202220
4103102332213223200000
5133211221242000000
62453102242411040
7164542464011343
oct23227647534000
94622676227686
101326048000000
11471412587119
12194bb6960a80
13980797a5aa9
1448276bb645a
1524760b0b1a0
hex134be9eb800

1326048000000 has 672 divisors, whose sum is σ = 4658002876800. Its totient is φ = 334540800000.

The previous prime is 1326047999977. The next prime is 1326048000031. The reversal of 1326048000000 is 8406231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 55 ways as a sum of consecutive naturals, for example, 1823999637 + ... + 1824000363.

It is an arithmetic number, because the mean of its divisors is an integer number (6931551900).

Almost surely, 21326048000000 is an apocalyptic number.

1326048000000 is a gapful number since it is divisible by the number (10) 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 1326048000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329001438400).

1326048000000 is an abundant number, since it is smaller than the sum of its proper divisors (3331954876800).

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

1326048000000 is an frugal number, since it uses more digits than its factorization.

1326048000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 1326048000000 in words is "one trillion, three hundred twenty-six billion, forty-eight million", and thus it is an aban number.