Search a number
-
+
53413212320 = 2551373351773
BaseRepresentation
bin110001101111101011…
…001111000010100000
312002212110101022200222
4301233223033002200
51333342240243240
640312050302212
73600425546036
oct615753170240
9162773338628
1053413212320
112071a402a86
12a427b87968
135062c405a0
142829b7a556
1515c935beb5
hexc6facf0a0

53413212320 has 96 divisors (see below), whose sum is σ = 137757512592. Its totient is φ = 19451584512.

The previous prime is 53413212311. The next prime is 53413212343. The reversal of 53413212320 is 2321231435.

It is a happy number.

53413212320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 23202600976 + 30210611344 = 152324^2 + 173812^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 53413212320.

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, 24047 + ... + 327726.

Almost surely, 253413212320 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 53413212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68878756296).

53413212320 is an abundant number, since it is smaller than the sum of its proper divisors (84344300272).

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

53413212320 is a wasteful number, since it uses less digits than its factorization.

53413212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351874 (or 351866 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 53413212320 its reverse (2321231435), we get a palindrome (55734443755).

The spelling of 53413212320 in words is "fifty-three billion, four hundred thirteen million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 73 80 104 130 146 160 208 260 292 365 416 520 584 730 949 1040 1168 1460 1898 2080 2336 2920 3796 4745 5840 7592 9490 11680 15184 18980 30368 37960 75920 151840 351773 703546 1407092 1758865 2814184 3517730 4573049 5628368 7035460 9146098 11256736 14070920 18292196 22865245 25679429 28141840 36584392 45730490 51358858 56283680 73168784 91460980 102717716 128397145 146337568 182921960 205435432 256794290 333832577 365843920 410870864 513588580 667665154 731687840 821741728 1027177160 1335330308 1669162885 2054354320 2670660616 3338325770 4108708640 5341321232 6676651540 10682642464 13353303080 26706606160 53413212320