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6533418112 = 271347139601
BaseRepresentation
bin1100001010110110…
…00000110010000000
3121212022210000202121
412011123000302000
5101340023334422
63000145454024
7320622065134
oct60533006200
917768700677
106533418112
112852a42801
121324041314
138017518a0
1445d9c33c4
152838a28c7
hex1856c0c80

6533418112 has 128 divisors (see below), whose sum is σ = 14442220800. Its totient is φ = 2925158400.

The previous prime is 6533418107. The next prime is 6533418161. The reversal of 6533418112 is 2118143356.

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

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, 10870612 + ... + 10871212.

It is an arithmetic number, because the mean of its divisors is an integer number (112829850).

Almost surely, 26533418112 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 6533418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221110400).

6533418112 is an abundant number, since it is smaller than the sum of its proper divisors (7908802688).

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

6533418112 is a wasteful number, since it uses less digits than its factorization.

6533418112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 802 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 6533418112 is about 80829.5621168394. The cubic root of 6533418112 is about 1869.4484071892.

It can be divided in two parts, 6533 and 418112, that multiplied together give a square (2731525696 = 522642).

The spelling of 6533418112 in words is "six billion, five hundred thirty-three million, four hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 139 188 208 278 376 416 556 601 611 752 832 1112 1202 1222 1504 1664 1807 2224 2404 2444 3008 3614 4448 4808 4888 6016 6533 7228 7813 8896 9616 9776 13066 14456 15626 17792 19232 19552 26132 28247 28912 31252 38464 39104 52264 56494 57824 62504 76928 78208 83539 84929 104528 112988 115648 125008 167078 169858 209056 225976 231296 250016 334156 339716 367211 418112 451952 500032 668312 679432 734422 836224 903904 1000064 1086007 1336624 1358864 1468844 1807808 2172014 2673248 2717728 2937688 3615616 3926333 4344028 5346496 5435456 5875376 7852666 8688056 10692992 10870912 11750752 15705332 17376112 23501504 31410664 34752224 47003008 51042329 62821328 69504448 102084658 125642656 139008896 204169316 251285312 408338632 502570624 816677264 1633354528 3266709056 6533418112