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51012120224 = 2513373479551
BaseRepresentation
bin101111100000100011…
…110010111010100000
311212200010022012120002
4233200203302322200
51313433100321344
635233514435132
73454061603402
oct574043627240
9155603265502
1051012120224
111a6a8014a4a
129a77a32aa8
134a6c661830
14267cd14b72
1514d866c44e
hexbe08f2ea0

51012120224 has 96 divisors (see below), whose sum is σ = 111410401536. Its totient is φ = 22839321600.

The previous prime is 51012120223. The next prime is 51012120251. The reversal of 51012120224 is 42202121015.

It is a junction number, because it is equal to n+sod(n) for n = 51012120196 and 51012120205.

It is not an unprimeable number, because it can be changed into a prime (51012120223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5336249 + ... + 5345799.

It is an arithmetic number, because the mean of its divisors is an integer number (1160525016).

Almost surely, 251012120224 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 51012120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55705200768).

51012120224 is an abundant number, since it is smaller than the sum of its proper divisors (60398281312).

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

51012120224 is a wasteful number, since it uses less digits than its factorization.

51012120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9958 (or 9950 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 51012120224 its reverse (42202121015), we get a palindrome (93214241239).

The spelling of 51012120224 in words is "fifty-one billion, twelve million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 347 416 481 592 694 962 1184 1388 1924 2776 3848 4511 5552 7696 9022 9551 11104 12839 15392 18044 19102 25678 36088 38204 51356 72176 76408 102712 124163 144352 152816 166907 205424 248326 305632 333814 353387 410848 496652 667628 706774 993304 1335256 1413548 1986608 2670512 2827096 3314197 3973216 4594031 5341024 5654192 6628394 9188062 11308384 13256788 18376124 26513576 36752248 43084561 53027152 73504496 86169122 106054304 122625289 147008992 172338244 245250578 344676488 490501156 689352976 981002312 1378705952 1594128757 1962004624 3188257514 3924009248 6376515028 12753030056 25506060112 51012120224