Search a number
-
+
56831560848 = 243515793103
BaseRepresentation
bin110100111011011011…
…001100110010010000
312102200200121102100000
4310323123030302100
51412342334421343
642035201330000
74051224203526
oct647333146220
9172620542300
1056831560848
1122113a30907
12b020936900
1354891bbc1a
142a71b62316
1517294daed3
hexd3b6ccc90

56831560848 has 120 divisors (see below), whose sum is σ = 165992514688. Its totient is φ = 18822989952.

The previous prime is 56831560829. The next prime is 56831560861. The reversal of 56831560848 is 84806513865.

56831560848 is a `hidden beast` number, since 5 + 6 + 8 + 31 + 560 + 8 + 48 = 666.

56831560848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56831560794 and 56831560803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563865 + ... + 656967.

Almost surely, 256831560848 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 56831560848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82996257344).

56831560848 is an abundant number, since it is smaller than the sum of its proper divisors (109160953840).

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

56831560848 is a wasteful number, since it uses less digits than its factorization.

56831560848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93283 (or 93265 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 56831560848 in words is "fifty-six billion, eight hundred thirty-one million, five hundred sixty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 157 162 216 243 314 324 432 471 486 628 648 942 972 1256 1296 1413 1884 1944 2512 2826 3768 3888 4239 5652 7536 8478 11304 12717 16956 22608 25434 33912 38151 50868 67824 76302 93103 101736 152604 186206 203472 279309 305208 372412 558618 610416 744824 837927 1117236 1489648 1675854 2234472 2513781 3351708 4468944 5027562 6703416 7541343 10055124 13406832 14617171 15082686 20110248 22624029 29234342 30165372 40220496 43851513 45248058 58468684 60330744 87703026 90496116 116937368 120661488 131554539 175406052 180992232 233874736 263109078 350812104 361984464 394663617 526218156 701624208 789327234 1052436312 1183990851 1578654468 2104872624 2367981702 3157308936 3551972553 4735963404 6314617872 7103945106 9471926808 14207890212 18943853616 28415780424 56831560848