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6496540192 = 251978713577
BaseRepresentation
bin1100000110011100…
…10101011000100000
3121202202101102202201
412003032111120200
5101301103241232
62552351222544
7316663452262
oct60316253040
917682342681
106496540192
11283414488a
121313817a54
137c6c0c12c
14458b43b32
1528051abe7
hex183395620

6496540192 has 48 divisors (see below), whose sum is σ = 13481324640. Its totient is φ = 3073171968.

The previous prime is 6496540189. The next prime is 6496540213. The reversal of 6496540192 is 2910456946.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 471708 + ... + 485284.

It is an arithmetic number, because the mean of its divisors is an integer number (280860930).

Almost surely, 26496540192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6496540192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740662320).

6496540192 is an abundant number, since it is smaller than the sum of its proper divisors (6984784448).

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

6496540192 is a wasteful number, since it uses less digits than its factorization.

6496540192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14393 (or 14385 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 6496540192 is about 80601.1178086260. The cubic root of 6496540192 is about 1865.9243972836.

The spelling of 6496540192 in words is "six billion, four hundred ninety-six million, five hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 787 1574 3148 6296 12592 13577 14953 25184 27154 29906 54308 59812 108616 119624 217232 239248 257963 434464 478496 515926 1031852 2063704 4127408 8254816 10685099 21370198 42740396 85480792 170961584 203016881 341923168 406033762 812067524 1624135048 3248270096 6496540192