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1382328978822 = 2341143199269337
BaseRepresentation
bin10100000111011001001…
…110100100110110000110
311220011000212211220120000
4110013121032210312012
5140122002204310242
62535011055222130
7201604254310611
oct24073116446606
94804025756500
101382328978822
11493273742560
121a3aa3217946
13a04788ac61c
144ac95777178
1525e56adba4c
hex141d93a4d86

1382328978822 has 320 divisors, whose sum is σ = 3498251328000. Its totient is φ = 404373150720.

The previous prime is 1382328978809. The next prime is 1382328978829. The reversal of 1382328978822 is 2288798232831.

1382328978822 is a `hidden beast` number, since 1 + 382 + 32 + 89 + 78 + 82 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (37158912) is a multiple of the sum of its prime divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 1382328978822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382328978829) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 4101866238 + ... + 4101866574.

It is an arithmetic number, because the mean of its divisors is an integer number (10932035400).

Almost surely, 21382328978822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382328978822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749125664000).

1382328978822 is an abundant number, since it is smaller than the sum of its proper divisors (2115922349178).

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

1382328978822 is a wasteful number, since it uses less digits than its factorization.

1382328978822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 864 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 1382328978822 in words is "one trillion, three hundred eighty-two billion, three hundred twenty-eight million, nine hundred seventy-eight thousand, eight hundred twenty-two".