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2168398439424 = 210367259281
BaseRepresentation
bin11111100011011110100…
…111100110010000000000
321200022000102012221000000
4133203132213212100000
5241011340000030144
64340052024000000
7312442635423300
oct37433647462000
97608012187000
102168398439424
11766681430878
122b0300300000
1312962c75a279
1476d45947600
153b611e1b769
hex1f8de9e6400

2168398439424 has 462 divisors, whose sum is σ = 7560242174454. Its totient is φ = 619531960320.

The previous prime is 2168398439419. The next prime is 2168398439533. The reversal of 2168398439424 is 4249348938612.

2168398439424 is a `hidden beast` number, since 2 + 1 + 6 + 83 + 98 + 43 + 9 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2106910310400 + 61488129024 = 1451520^2 + 247968^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 36548664 + ... + 36607944.

Almost surely, 22168398439424 is an apocalyptic number.

2168398439424 is a gapful number since it is divisible by the number (24) 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 2168398439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780121087227).

2168398439424 is an abundant number, since it is smaller than the sum of its proper divisors (5391843735030).

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

2168398439424 is an frugal number, since it uses more digits than its factorization.

2168398439424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59333 (or 59293 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 2168398439424 in words is "two trillion, one hundred sixty-eight billion, three hundred ninety-eight million, four hundred thirty-nine thousand, four hundred twenty-four".