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6530934144 = 273719127877
BaseRepresentation
bin1100001010100011…
…00010010110000000
3121212011002211101210
412011101202112000
5101333404343034
63000020330120
7320562011220
oct60521422600
917764084353
106530934144
1128515a6539
121323243940
13801092097
1445d538080
152835618e9
hex185462580

6530934144 has 128 divisors (see below), whose sum is σ = 20869689600. Its totient is φ = 1767757824.

The previous prime is 6530934139. The next prime is 6530934161. The reversal of 6530934144 is 4414390356.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12867 + ... + 115010.

It is an arithmetic number, because the mean of its divisors is an integer number (163044450).

Almost surely, 26530934144 is an apocalyptic number.

6530934144 is a gapful number since it is divisible by the number (64) 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 6530934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10434844800).

6530934144 is an abundant number, since it is smaller than the sum of its proper divisors (14338755456).

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

6530934144 is a wasteful number, since it uses less digits than its factorization.

6530934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127920 (or 127908 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 6530934144 is about 80814.1951887167. The cubic root of 6530934144 is about 1869.2114593128.

The spelling of 6530934144 in words is "six billion, five hundred thirty million, nine hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 25536 51072 127877 255754 383631 511508 767262 895139 1023016 1534524 1790278 2046032 2429663 2685417 3069048 3580556 4092064 4859326 5370834 6138096 7161112 7288989 8184128 9718652 10741668 12276192 14322224 14577978 16368256 17007641 19437304 21483336 24552384 28644448 29155956 34015282 38874608 42966672 49104768 51022923 57288896 58311912 68030564 77749216 85933344 102045846 114577792 116623824 136061128 155498432 171866688 204091692 233247648 272122256 310996864 343733376 408183384 466495296 544244512 816366768 932990592 1088489024 1632733536 2176978048 3265467072 6530934144