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44557660714064 = 24229433269310429
BaseRepresentation
bin10100010000110011000111…
…00010011111010001010000
312211202200002222122012012112
422020121203202133101100
521320013042120322224
6234433301242444452
712246120240650351
oct1210314342372120
9184680088565175
1044557660714064
1113219885948033
124bb76a6503728
131bb2a0041c484
14b00860957d28
155240a89cb30e
hex28866389f450

44557660714064 has 80 divisors (see below), whose sum is σ = 86948312816400. Its totient is φ = 22119976378368.

The previous prime is 44557660714057. The next prime is 44557660714079. The reversal of 44557660714064 is 46041706675544.

It can be written as a sum of positive squares in 8 ways, for example, as 4866400704064 + 39691260010000 = 2205992^2 + 6300100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44557660713994 and 44557660714012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4272471602 + ... + 4272482030.

It is an arithmetic number, because the mean of its divisors is an integer number (1086853910205).

Almost surely, 244557660714064 is an apocalyptic number.

It is an amenable number.

44557660714064 is a deficient number, since it is larger than the sum of its proper divisors (42390652102336).

44557660714064 is a wasteful number, since it uses less digits than its factorization.

44557660714064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13792 (or 13786 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 59.

The spelling of 44557660714064 in words is "forty-four trillion, five hundred fifty-seven billion, six hundred sixty million, seven hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 8 16 229 433 458 866 916 1732 1832 2693 3464 3664 5386 6928 10429 10772 20858 21544 41716 43088 83432 99157 166864 198314 396628 616697 793256 1166069 1233394 1586512 2332138 2388241 2466788 4515757 4664276 4776482 4933576 9031514 9328552 9552964 9867152 18063028 18657104 19105928 28085297 36126056 38211856 56170594 72252112 112341188 224682376 267029801 449364752 534059602 1034108353 1068119204 2068216706 2136238408 4136433412 4272476816 6431533013 8272866824 12160933601 12863066026 16545733648 24321867202 25726132052 48643734404 51452264104 97287468808 102904528208 194574937616 2784853794629 5569707589258 11139415178516 22278830357032 44557660714064