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50668729216 = 277316432837
BaseRepresentation
bin101111001100000101…
…110111001110000000
311211210012011010122121
4233030011313032000
51312232143313331
635135450414024
73442422043420
oct571405671600
9154705133577
1050668729216
111a5411a4226
1299a0a31314
134a164808a1
142649488480
1514b843bc11
hexbcc177380

50668729216 has 128 divisors (see below), whose sum is σ = 119310428160. Its totient is φ = 20974602240.

The previous prime is 50668729193. The next prime is 50668729219. The reversal of 50668729216 is 61292786605.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50668729219) 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, 17858550 + ... + 17861386.

It is an arithmetic number, because the mean of its divisors is an integer number (932112720).

Almost surely, 250668729216 is an apocalyptic number.

50668729216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50668729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59655214080).

50668729216 is an abundant number, since it is smaller than the sum of its proper divisors (68641698944).

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

50668729216 is a wasteful number, since it uses less digits than its factorization.

50668729216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 50668729216 in words is "fifty billion, six hundred sixty-eight million, seven hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 643 868 896 992 1286 1736 1984 2572 2837 3472 3968 4501 5144 5674 6944 9002 10288 11348 13888 18004 19859 19933 20576 22696 27776 36008 39718 39866 41152 45392 72016 79436 79732 82304 87947 90784 139531 144032 158872 159464 175894 181568 279062 288064 317744 318928 351788 363136 558124 576128 615629 635488 637856 703576 1116248 1231258 1270976 1275712 1407152 1824191 2232496 2462516 2541952 2551424 2814304 3648382 4464992 4925032 5628608 7296764 8929984 9850064 11257216 12769337 14593528 17859968 19700128 25538674 29187056 39400256 51077348 56549921 58374112 78800512 102154696 113099842 116748224 204309392 226199684 233496448 395849447 408618784 452399368 791698894 817237568 904798736 1583397788 1634475136 1809597472 3166795576 3619194944 6333591152 7238389888 12667182304 25334364608 50668729216