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1383829523712 = 28327183101921
BaseRepresentation
bin10100001000110010101…
…010101100110100000000
311220021220110101111011200
4110020302222230310000
5140133040324224322
62535420021141200
7201656404605216
oct24106252546400
94807813344150
101383829523712
114939737650a9
121a424185a800
13a06577328cc
144ad98b7ccb6
1525ee36e28ac
hex14232aacd00

1383829523712 has 216 divisors, whose sum is σ = 4094906332608. Its totient is φ = 449295974400.

The previous prime is 1383829523711. The next prime is 1383829523729. The reversal of 1383829523712 is 2173259283831.

1383829523712 is a `hidden beast` number, since 1 + 3 + 83 + 8 + 29 + 523 + 7 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383829523711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13526512 + ... + 13628432.

It is an arithmetic number, because the mean of its divisors is an integer number (18957899688).

Almost surely, 21383829523712 is an apocalyptic number.

1383829523712 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 1383829523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047453166304).

1383829523712 is an abundant number, since it is smaller than the sum of its proper divisors (2711076808896).

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

1383829523712 is a wasteful number, since it uses less digits than its factorization.

1383829523712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102097 (or 102080 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 1383829523712 in words is "one trillion, three hundred eighty-three billion, eight hundred twenty-nine million, five hundred twenty-three thousand, seven hundred twelve".