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6398163144 = 2332487182471
BaseRepresentation
bin1011111010101110…
…00011100011001000
3121111220021100211100
411331113003203020
5101100412210034
62534514501400
7314360326602
oct57527034310
917456240740
106398163144
11279366173a
1212a6894860
137ac716269
14449a56172
15276a87099
hex17d5c38c8

6398163144 has 48 divisors (see below), whose sum is σ = 17364035520. Its totient is φ = 2128330080.

The previous prime is 6398163103. The next prime is 6398163203. The reversal of 6398163144 is 4413618936.

6398163144 is a `hidden beast` number, since 6 + 3 + 9 + 8 + 1 + 631 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6398163144.

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 11 ways as a sum of consecutive naturals, for example, 56172 + ... + 126299.

It is an arithmetic number, because the mean of its divisors is an integer number (361750740).

Almost surely, 26398163144 is an apocalyptic number.

It is an amenable number.

6398163144 is an abundant number, since it is smaller than the sum of its proper divisors (10965872376).

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

6398163144 is a wasteful number, since it uses less digits than its factorization.

6398163144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182970 (or 182963 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 6398163144 is about 79988.5188261415. The cubic root of 6398163144 is about 1856.4578929013.

The spelling of 6398163144 in words is "six billion, three hundred ninety-eight million, one hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 487 974 1461 1948 2922 3896 4383 5844 8766 11688 17532 35064 182471 364942 547413 729884 1094826 1459768 1642239 2189652 3284478 4379304 6568956 13137912 88863377 177726754 266590131 355453508 533180262 710907016 799770393 1066360524 1599540786 2132721048 3199081572 6398163144