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1384675992000 = 263353723291373
BaseRepresentation
bin10100001001100101000…
…111101110000111000000
311220101002110011112101000
4110021211013232013000
5140141304023221000
62540040020012000
7202016363506620
oct24114507560700
94811073145330
101384675992000
11494268554274
121a4439231000
13a0760c05512
144b039362880
1526042b98000
hex142651ee1c0

1384675992000 has 1792 divisors, whose sum is σ = 6271876915200. Its totient is φ = 292084531200.

The previous prime is 1384675991939. The next prime is 1384675992013. The reversal of 1384675992000 is 2995764831.

1384675992000 is a `hidden beast` number, since 1 + 3 + 8 + 46 + 7 + 599 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1008503314 + ... + 1008504686.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1384675992000 = 2769351984000, but 3⋅1384675992000 = 4154027976000 is not.

Almost surely, 21384675992000 is an apocalyptic number.

1384675992000 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 1384675992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135938457600).

1384675992000 is an abundant number, since it is smaller than the sum of its proper divisors (4887200923200).

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

1384675992000 is a wasteful number, since it uses less digits than its factorization.

1384675992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1384675992000 in words is "one trillion, three hundred eighty-four billion, six hundred seventy-five million, nine hundred ninety-two thousand".