Search a number
-
+
53355121144 = 231321071911931
BaseRepresentation
bin110001101100001101…
…101000100111111000
312002201102001222120221
4301230031220213320
51333232402334034
640302213225424
73566122022023
oct615415504770
9162642058527
1053355121144
112069a636246
12a410632274
135053bb1400
1428221781ba
1515c41d4bb4
hexc6c3689f8

53355121144 has 96 divisors (see below), whose sum is σ = 109970058240. Its totient is φ = 24255004800.

The previous prime is 53355121103. The next prime is 53355121177. The reversal of 53355121144 is 44112155335.

53355121144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 27629859 + ... + 27631789.

It is an arithmetic number, because the mean of its divisors is an integer number (1145521440).

Almost surely, 253355121144 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 53355121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54985029120).

53355121144 is an abundant number, since it is smaller than the sum of its proper divisors (56614937096).

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

53355121144 is a wasteful number, since it uses less digits than its factorization.

53355121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2244 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

Adding to 53355121144 its reverse (44112155335), we get a palindrome (97467276479).

The spelling of 53355121144 in words is "fifty-three billion, three hundred fifty-five million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 107 169 191 214 338 382 428 676 764 856 1352 1391 1528 1931 2483 2782 3862 4966 5564 7724 9932 11128 15448 18083 19864 20437 25103 32279 36166 40874 50206 64558 72332 81748 100412 129116 144664 163496 200824 206617 258232 265681 326339 368821 413234 531362 652678 737642 826468 1062724 1305356 1475284 1652936 2125448 2610712 2686021 2950568 3453853 4794673 5372042 6907706 9589346 10744084 13815412 19178692 21488168 27630824 34918273 38357384 39463847 62330749 69836546 78927694 124661498 139673092 157855388 249322996 279346184 315710776 498645992 513030011 1026060022 2052120044 4104240088 6669390143 13338780286 26677560572 53355121144