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48871444356 = 223271634092909
BaseRepresentation
bin101101100000111101…
…110000111110000100
311200010221020121022200
4231200331300332010
51300042042204411
634241244354500
73350036265030
oct554075607604
9150127217280
1048871444356
11197a9724539
12957ab45a30
1347bb001617
1425188bb1c0
15141076ce56
hexb60f70f84

48871444356 has 144 divisors (see below), whose sum is σ = 142446595200. Its totient is φ = 13838916096.

The previous prime is 48871444333. The next prime is 48871444439. The reversal of 48871444356 is 65344417884.

48871444356 is a `hidden beast` number, since 4 + 88 + 71 + 4 + 443 + 56 = 666.

48871444356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16798630 + ... + 16801538.

Almost surely, 248871444356 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 48871444356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71223297600).

48871444356 is an abundant number, since it is smaller than the sum of its proper divisors (93575150844).

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

48871444356 is a wasteful number, since it uses less digits than its factorization.

48871444356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3493 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 48871444356 in words is "forty-eight billion, eight hundred seventy-one million, four hundred forty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 163 252 326 409 489 652 818 978 1141 1227 1467 1636 1956 2282 2454 2863 2909 2934 3423 3681 4564 4908 5726 5818 5868 6846 7362 8589 8727 10269 11452 11636 13692 14724 17178 17454 20363 20538 25767 26181 34356 34908 40726 41076 51534 52362 61089 66667 81452 103068 104724 122178 133334 183267 200001 244356 266668 366534 400002 466669 474167 600003 733068 800004 933338 948334 1189781 1200006 1400007 1422501 1866676 1896668 2379562 2400012 2800014 2845002 3319169 3569343 4200021 4267503 4759124 5600028 5690004 6638338 7138686 8328467 8400042 8535006 9957507 10708029 13276676 14277372 16656934 16800084 17070012 19915014 21416058 24985401 29872521 33313868 39830028 42832116 49970802 59745042 74956203 99941604 119490084 149912406 193934303 299824812 387868606 581802909 775737212 1163605818 1357540121 1745408727 2327211636 2715080242 3490817454 4072620363 5430160484 6981634908 8145240726 12217861089 16290481452 24435722178 48871444356