Search a number
-
+
55505231232 = 2731114718933
BaseRepresentation
bin110011101100010111…
…101001110110000000
312022021020212220010220
4303230113221312000
51402133314344412
641255421423040
74003320452403
oct635427516600
9168236786126
1055505231232
11215a328a830
12a91070aa80
1353074957b9
142987949d3a
15169cd4968c
hexcec5e9d80

55505231232 has 128 divisors (see below), whose sum is σ = 160966379520. Its totient is φ = 16806451200.

The previous prime is 55505231219. The next prime is 55505231311. The reversal of 55505231232 is 23213250555.

55505231232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 55505231193 and 55505231202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6209038 + ... + 6217970.

It is an arithmetic number, because the mean of its divisors is an integer number (1257549840).

Almost surely, 255505231232 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 55505231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80483189760).

55505231232 is an abundant number, since it is smaller than the sum of its proper divisors (105461148288).

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

55505231232 is a wasteful number, since it uses less digits than its factorization.

55505231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10432 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

Adding to 55505231232 its reverse (23213250555), we get a palindrome (78718481787).

The spelling of 55505231232 in words is "fifty-five billion, five hundred five million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 1471 2112 2942 4224 4413 5884 8826 8933 11768 16181 17652 17866 23536 26799 32362 35304 35732 47072 48543 53598 64724 70608 71464 94144 97086 98263 107196 129448 141216 142928 188288 194172 196526 214392 258896 282432 285856 294789 388344 393052 428784 517792 564864 571712 589578 776688 786104 857568 1035584 1143424 1179156 1553376 1572208 1715136 2071168 2358312 3106752 3144416 3430272 4716624 6213504 6288832 9433248 12577664 13140443 18866496 26280886 37732992 39421329 52561772 78842658 105123544 144544873 157685316 210247088 289089746 315370632 420494176 433634619 578179492 630741264 840988352 867269238 1156358984 1261482528 1681976704 1734538476 2312717968 2522965056 3469076952 4625435936 5045930112 6938153904 9250871872 13876307808 18501743744 27752615616 55505231232