Search a number
-
+
50055505488 = 24327338912241
BaseRepresentation
bin101110100111100010…
…100110011001010000
311210012110021010211200
4232213202212121100
51310003202133423
634554543111200
73421264530222
oct564742463120
9153173233750
1050055505488
111a25703415a
12984b5a2500
134949405001
1425cbc5c412
15147e6aad43
hexba78a6650

50055505488 has 120 divisors (see below), whose sum is σ = 142381560360. Its totient is φ = 16412958720.

The previous prime is 50055505469. The next prime is 50055505531. The reversal of 50055505488 is 88450555005.

50055505488 is a `hidden beast` number, since 5 + 0 + 0 + 55 + 50 + 548 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1271065104 + 48784440384 = 35652^2 + 220872^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 4083048 + ... + 4095288.

It is an arithmetic number, because the mean of its divisors is an integer number (1186513003).

Almost surely, 250055505488 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 50055505488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71190780180).

50055505488 is an abundant number, since it is smaller than the sum of its proper divisors (92326054872).

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

50055505488 is a wasteful number, since it uses less digits than its factorization.

50055505488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12717 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 45.

The spelling of 50055505488 in words is "fifty billion, fifty-five million, five hundred five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 389 438 584 657 778 876 1167 1168 1314 1556 1752 2334 2628 3112 3501 3504 4668 5256 6224 7002 9336 10512 12241 14004 18672 24482 28008 28397 36723 48964 56016 56794 73446 85191 97928 110169 113588 146892 170382 195856 220338 227176 255573 293784 340764 440676 454352 511146 587568 681528 881352 893593 1022292 1363056 1762704 1787186 2044584 2680779 3574372 4089168 4761749 5361558 7148744 8042337 9523498 10723116 14285247 14297488 16084674 19046996 21446232 28570494 32169348 38093992 42855741 42892464 57140988 64338696 76187984 85711482 114281976 128677392 171422964 228563952 342845928 347607677 685691856 695215354 1042823031 1390430708 2085646062 2780861416 3128469093 4171292124 5561722832 6256938186 8342584248 12513876372 16685168496 25027752744 50055505488