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6649759053216 = 2532171358202421
BaseRepresentation
bin110000011000100010010…
…0001101011010110100000
3212112201012010211102011100
41200301010201223112200
51332422201304200331
622050505050314400
71254300141224166
oct140610441532640
925481163742140
106649759053216
112134168699124
128b4926a28a00
133930b9b67256
1418dbc87a3236
15b7e97453ae6
hex60c4486b5a0

6649759053216 has 72 divisors (see below), whose sum is σ = 20022620105124. Its totient is φ = 2086198917120.

The previous prime is 6649759053187. The next prime is 6649759053227. The reversal of 6649759053216 is 6123509579466.

6649759053216 is a `hidden beast` number, since 6 + 6 + 4 + 9 + 7 + 5 + 90 + 532 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6392503155600 + 257255897616 = 2528340^2 + 507204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679096315 + ... + 679106106.

Almost surely, 26649759053216 is an apocalyptic number.

It is an amenable number.

6649759053216 is an abundant number, since it is smaller than the sum of its proper divisors (13372861051908).

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

6649759053216 is a wasteful number, since it uses less digits than its factorization.

6649759053216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358202454 (or 1358202443 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 6649759053216 in words is "six trillion, six hundred forty-nine billion, seven hundred fifty-nine million, fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 1358202421 2716404842 4074607263 5432809684 8149214526 10865619368 12223821789 16298429052 21731238736 23089441157 24447643578 32596858104 43462477472 46178882314 48895287156 65193716208 69268323471 92357764628 97790574312 130387432416 138536646942 184715529256 195581148624 207804970413 277073293884 369431058512 391162297248 415609940826 554146587768 738862117024 831219881652 1108293175536 1662439763304 2216586351072 3324879526608 6649759053216