Search a number
-
+
5103133044352 = 27747277437473
BaseRepresentation
bin100101001000010101001…
…1011101010111010000000
3200001212002010010121112121
41022100222123222322000
51132102204024404402
614504202535334024
71034455252113550
oct112205233527200
920055063117477
105103133044352
111698254624212
126a5030b21314
132b02b99cb5b5
14138dc8963160
158cb26a30837
hex4a42a6eae80

5103133044352 has 128 divisors (see below), whose sum is σ = 11908812234240. Its totient is φ = 2132791492608.

The previous prime is 5103133044329. The next prime is 5103133044353. The reversal of 5103133044352 is 2534403313015.

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

It is not an unprimeable number, because it can be changed into a prime (5103133044353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11446288 + ... + 11883760.

It is an arithmetic number, because the mean of its divisors is an integer number (93037595580).

Almost surely, 25103133044352 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 5103133044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954406117120).

5103133044352 is an abundant number, since it is smaller than the sum of its proper divisors (6805679189888).

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

5103133044352 is a wasteful number, since it uses less digits than its factorization.

5103133044352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437818 (or 437806 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 5103133044352 its reverse (2534403313015), we get a palindrome (7637536357367).

The spelling of 5103133044352 in words is "five trillion, one hundred three billion, one hundred thirty-three million, forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 277 329 376 448 554 658 752 896 1108 1316 1504 1939 2216 2632 3008 3878 4432 5264 6016 7756 8864 10528 13019 15512 17728 21056 26038 31024 35456 42112 52076 62048 91133 104152 124096 182266 208304 248192 364532 416608 437473 729064 833216 874946 1458128 1666432 1749892 2916256 3062311 3499784 5832512 6124622 6999568 11665024 12249244 13999136 20561231 24498488 27998272 41122462 48996976 55996544 82244924 97993952 121180021 143928617 164489848 195987904 242360042 287857234 328979696 391975808 484720084 575714468 657959392 848260147 969440168 1151428936 1315918784 1696520294 1938880336 2302857872 2631837568 3393040588 3877760672 4605715744 5695460987 6786081176 7755521344 9211431488 11390921974 13572162352 15511042688 18422862976 22781843948 27144324704 39868226909 45563687896 54288649408 79736453818 91127375792 108577298816 159472907636 182254751584 318945815272 364509503168 637891630544 729019006336 1275783261088 2551566522176 5103133044352