Search a number
-
+
52443403056 = 243211113292993
BaseRepresentation
bin110000110101110111…
…101101001100110000
312000100212111220111100
4300311313231030300
51324401002344211
640031524044400
73534411366552
oct606567551460
9160325456440
1052443403056
1120271a2aa20
12a1b7233700
134c3a044155
14277704b4d2
15156e141156
hexc35ded330

52443403056 has 120 divisors (see below), whose sum is σ = 161528764176. Its totient is φ = 15751249920.

The previous prime is 52443403043. The next prime is 52443403079. The reversal of 52443403056 is 65030434425.

52443403056 is a `hidden beast` number, since 5 + 2 + 4 + 4 + 340 + 305 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52443403056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32496 + ... + 325488.

Almost surely, 252443403056 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 52443403056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80764382088).

52443403056 is an abundant number, since it is smaller than the sum of its proper divisors (109085361120).

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

52443403056 is a wasteful number, since it uses less digits than its factorization.

52443403056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293131 (or 293122 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 52443403056 in words is "fifty-two billion, four hundred forty-three million, four hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 113 132 144 176 198 226 264 339 396 452 528 678 792 904 1017 1243 1356 1584 1808 2034 2486 2712 3729 4068 4972 5424 7458 8136 9944 11187 14916 16272 19888 22374 29832 44748 59664 89496 178992 292993 585986 878979 1171972 1757958 2343944 2636937 3222923 3515916 4687888 5273874 6445846 7031832 9668769 10547748 12891692 14063664 19337538 21095496 25783384 29006307 33108209 38675076 42190992 51566768 58012614 66216418 77350152 99324627 116025228 132432836 154700304 198649254 232050456 264865672 297973881 364190299 397298508 464100912 529731344 595947762 728380598 794597016 1092570897 1191895524 1456761196 1589194032 2185141794 2383791048 2913522392 3277712691 4370283588 4767582096 5827044784 6555425382 8740567176 13110850764 17481134352 26221701528 52443403056