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6730553632 = 2511131227643
BaseRepresentation
bin1100100010010110…
…00001100100100000
3122101001201112212011
412101023001210200
5102241010204012
63031511042304
7325534522225
oct62113014440
918331645764
106730553632
112944249620
12137a070394
1383354511a
1447bc5b94c
15295d431a7
hex1912c1920

6730553632 has 96 divisors (see below), whose sum is σ = 14652658944. Its totient is φ = 3017913600.

The previous prime is 6730553591. The next prime is 6730553633. The reversal of 6730553632 is 2363550376.

It is not an unprimeable number, because it can be changed into a prime (6730553633) by changing a digit.

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, 10467103 + ... + 10467745.

It is an arithmetic number, because the mean of its divisors is an integer number (152631864).

Almost surely, 26730553632 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 6730553632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326329472).

6730553632 is an abundant number, since it is smaller than the sum of its proper divisors (7922105312).

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

6730553632 is a wasteful number, since it uses less digits than its factorization.

6730553632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 40.

The square root of 6730553632 is about 82039.9514383084. The cubic root of 6730553632 is about 1888.0649485701.

The spelling of 6730553632 in words is "six billion, seven hundred thirty million, five hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 227 262 352 454 524 643 908 1048 1286 1441 1816 2096 2497 2572 2882 3632 4192 4994 5144 5764 7073 7264 9988 10288 11528 14146 19976 20576 23056 28292 29737 39952 46112 56584 59474 79904 84233 113168 118948 145961 168466 226336 237896 291922 327107 336932 475792 583844 654214 673864 926563 951584 1167688 1308428 1347728 1605571 1853126 2335376 2616856 2695456 3211142 3706252 4670752 5233712 6422284 7412504 10467424 12844568 14825008 19120891 25689136 29650016 38241782 51378272 76483564 152967128 210329801 305934256 420659602 611868512 841319204 1682638408 3365276816 6730553632