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50514433144 = 23719972631861
BaseRepresentation
bin101111000010111001…
…010001010001111000
311211101102211002020021
4233002321101101320
51311423143330034
635112255340224
73435536411560
oct570271212170
9154342732207
1050514433144
111a47209830a
129959221674
1349c0509436
142632ba1da0
1514a9b0e6b4
hexbc2e51478

50514433144 has 128 divisors (see below), whose sum is σ = 115616793600. Its totient is φ = 20210135040.

The previous prime is 50514433129. The next prime is 50514433153. The reversal of 50514433144 is 44133441505.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27142774 + ... + 27144634.

It is an arithmetic number, because the mean of its divisors is an integer number (903256200).

Almost surely, 250514433144 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 50514433144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57808396800).

50514433144 is an abundant number, since it is smaller than the sum of its proper divisors (65102360456).

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

50514433144 is a wasteful number, since it uses less digits than its factorization.

50514433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 50514433144 its reverse (44133441505), we get a palindrome (94647874649).

The spelling of 50514433144 in words is "fifty billion, five hundred fourteen million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 97 133 152 194 263 266 388 526 532 679 776 1052 1064 1358 1841 1843 1861 2104 2716 3682 3686 3722 4997 5432 7364 7372 7444 9994 12901 13027 14728 14744 14888 19988 25511 25802 26054 34979 35359 39976 51022 51604 52108 69958 70718 102044 103208 104216 139916 141436 178577 180517 204088 247513 279832 282872 357154 361034 484709 489443 495026 714308 722068 969418 978886 990052 1263619 1428616 1444136 1938836 1957772 1980104 2527238 3392963 3426101 3429823 3877672 3915544 5054476 6785926 6852202 6859646 9299417 10108952 13571852 13704404 13719292 18598834 24008761 27143704 27408808 27438584 37197668 47475971 48017522 65095919 74395336 94951942 96035044 130191838 189903884 192070088 260383676 332331797 379807768 520767352 664663594 902043449 1329327188 1804086898 2658654376 3608173796 6314304143 7216347592 12628608286 25257216572 50514433144