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1389745244160 = 21133572132607
BaseRepresentation
bin10100001110010011010…
…001011000100000000000
311220212011201212020001000
4110032103101120200000
5140232144240303120
62542235023412000
7202256116444500
oct24162321304000
94825151766030
101389745244160
11496429a61469
121a5412a54000
13a108b200400
144b39a6cda00
152623cc2d990
hex14393458800

1389745244160 has 1728 divisors, whose sum is σ = 6232964774400. Its totient is φ = 292737908736.

The previous prime is 1389745244149. The next prime is 1389745244161. The reversal of 1389745244160 is 614425479831.

1389745244160 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 74 + 524 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 1389745244097 and 1389745244106.

It is not an unprimeable number, because it can be changed into a prime (1389745244161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2289530577 + ... + 2289531183.

It is an arithmetic number, because the mean of its divisors is an integer number (3607039800).

It is a 1-persistent number, because it is pandigital, but 2⋅1389745244160 = 2779490488320 is not.

Almost surely, 21389745244160 is an apocalyptic number.

1389745244160 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 1389745244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116482387200).

1389745244160 is an abundant number, since it is smaller than the sum of its proper divisors (4843219530240).

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

1389745244160 is a wasteful number, since it uses less digits than its factorization.

1389745244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1389745244160 in words is "one trillion, three hundred eighty-nine billion, seven hundred forty-five million, two hundred forty-four thousand, one hundred sixty".