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1324007328852 = 22341310917916111
BaseRepresentation
bin10011010001000100111…
…111001000110001010100
311200120111100101010020000
4103101010333020301110
5133143031334010402
62452123544011300
7164441064414645
oct23210477106124
94616440333200
101324007328852
1147056569073a
12194727460b30
1397b12a8b580
1448121b716cc
15246918b2c1c
hex13444fc8c54

1324007328852 has 240 divisors, whose sum is σ = 3782910700800. Its totient is φ = 401369437440.

The previous prime is 1324007328829. The next prime is 1324007328863. The reversal of 1324007328852 is 2588237004231.

1324007328852 is a `hidden beast` number, since 1 + 3 + 240 + 0 + 7 + 328 + 85 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1324007328798 and 1324007328807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82172277 + ... + 82188387.

It is an arithmetic number, because the mean of its divisors is an integer number (15762127920).

Almost surely, 21324007328852 is an apocalyptic number.

1324007328852 is a gapful number since it is divisible by the number (12) 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 1324007328852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891455350400).

1324007328852 is an abundant number, since it is smaller than the sum of its proper divisors (2458903371948).

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

1324007328852 is a wasteful number, since it uses less digits than its factorization.

1324007328852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16428 (or 16417 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1324007328852 in words is "one trillion, three hundred twenty-four billion, seven million, three hundred twenty-eight thousand, eight hundred fifty-two".