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47727424384 = 2717237331301
BaseRepresentation
bin101100011100110001…
…101011001110000000
311120012012120100221121
4230130301223032000
51240221210040014
633531540202024
73306505261603
oct543461531600
9146165510847
1047727424384
1119271983392
1292bb999314
134667caa423
14244a9a033a
1513950de124
hexb1cc6b380

47727424384 has 128 divisors (see below), whose sum is σ = 105276386880. Its totient is φ = 21437644800.

The previous prime is 47727424379. The next prime is 47727424397. The reversal of 47727424384 is 48342472774.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36684534 + ... + 36685834.

Almost surely, 247727424384 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 47727424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52638193440).

47727424384 is an abundant number, since it is smaller than the sum of its proper divisors (57548962496).

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

47727424384 is a wasteful number, since it uses less digits than its factorization.

47727424384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2076 counting only the distinct ones).

The product of its digits is 8429568, while the sum is 52.

The spelling of 47727424384 in words is "forty-seven billion, seven hundred twenty-seven million, four hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 272 368 391 544 733 736 782 1088 1301 1466 1472 1564 2176 2602 2932 2944 3128 5204 5864 6256 10408 11728 12461 12512 16859 20816 22117 23456 24922 25024 29923 33718 41632 44234 46912 49844 50048 59846 67436 83264 88468 93824 99688 119692 134872 166528 176936 199376 239384 269744 286603 353872 398752 478768 508691 539488 573206 707744 797504 953633 957536 1017382 1078976 1146412 1415488 1595008 1907266 1915072 2034764 2157952 2292824 2830976 3814532 3830144 4069528 4585648 7629064 8139056 9171296 15258128 16211761 16278112 18342592 21933559 30516256 32423522 32556224 36685184 43867118 61032512 64847044 65112448 87734236 122065024 129694088 175468472 259388176 350936944 372870503 518776352 701873888 745741006 1037552704 1403747776 1491482012 2075105408 2807495552 2982964024 5965928048 11931856096 23863712192 47727424384