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50889945744 = 243211217092
BaseRepresentation
bin101111011001010001…
…101111001010010000
311212100121102002200100
4233121101233022100
51313210311230434
635213432052400
73451046254521
oct573121571220
9155317362610
1050889945744
111a645058500
129a42b34100
134a50255c41
14266a9d0848
1514cca87699
hexbd946f290

50889945744 has 135 divisors (see below), whose sum is σ = 156637235209. Its totient is φ = 15412172160.

The previous prime is 50889945739. The next prime is 50889945763. The reversal of 50889945744 is 44754998805.

The square root of 50889945744 is 225588.

It is a perfect power (a square), and thus also a powerful number.

50889945744 is a `hidden beast` number, since 50 + 8 + 8 + 9 + 9 + 4 + 574 + 4 = 666.

50889945744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9567187344 + 41322758400 = 97812^2 + 203280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29776762 + ... + 29778470.

Almost surely, 250889945744 is an apocalyptic number.

50889945744 is the 225588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50889945744

50889945744 is an abundant number, since it is smaller than the sum of its proper divisors (105747289465).

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

50889945744 is a wasteful number, since it uses less digits than its factorization.

50889945744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 50889945744 in words is "fifty billion, eight hundred eighty-nine million, nine hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1709 1936 2178 2904 3418 4356 5127 5808 6836 8712 10254 13672 15381 17424 18799 20508 27344 30762 37598 41016 56397 61524 75196 82032 112794 123048 150392 169191 206789 225588 246096 300784 338382 413578 451176 620367 676764 827156 902352 1240734 1353528 1654312 1861101 2481468 2707056 2920681 3308624 3722202 4962936 5841362 7444404 8762043 9925872 11682724 14888808 17524086 23365448 26286129 29777616 32127491 35048172 46730896 52572258 64254982 70096344 96382473 105144516 128509964 140192688 192764946 210289032 257019928 289147419 353402401 385529892 420578064 514039856 578294838 706804802 771059784 1060207203 1156589676 1413609604 1542119568 2120414406 2313179352 2827219208 3180621609 4240828812 4626358704 5654438416 6361243218 8481657624 12722486436 16963315248 25444972872 50889945744