Search a number
-
+
5110413055540 = 22513236311354333
BaseRepresentation
bin100101001011101110001…
…0110101101011000110100
3200002112212110202111110121
41022113130112231120310
51132212111220234130
614511405155301324
71035133541151142
oct112273426553064
920075773674417
105110413055540
1116a034aa3a391
126a6522baa844
132b0baa024020
141394b976c592
158ce00c0ad7a
hex4a5dc5ad634

5110413055540 has 96 divisors (see below), whose sum is σ = 12079012409856. Its totient is φ = 1802019985920.

The previous prime is 5110413055529. The next prime is 5110413055541. The reversal of 5110413055540 is 455503140115.

It is a super-3 number, since 3×51104130555403 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 5110413055496 and 5110413055505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110413055541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3096214 + ... + 4450546.

It is an arithmetic number, because the mean of its divisors is an integer number (125823045936).

Almost surely, 25110413055540 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 5110413055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039506204928).

5110413055540 is an abundant number, since it is smaller than the sum of its proper divisors (6968599354316).

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

5110413055540 is a wasteful number, since it uses less digits than its factorization.

5110413055540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355009 (or 1355007 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

Adding to 5110413055540 its reverse (455503140115), we get a palindrome (5565916195655).

The spelling of 5110413055540 in words is "five trillion, one hundred ten billion, four hundred thirteen million, fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 631 1196 1262 1495 2524 2990 3155 5980 6310 8203 12620 14513 16406 29026 32812 41015 58052 72565 82030 145130 164060 188669 290260 377338 754676 943345 1354333 1886690 2708666 3773380 5417332 6771665 13543330 17606329 27086660 31149659 35212658 62299318 70425316 88031645 124598636 155748295 176063290 311496590 352126580 404945567 622993180 809891134 854584123 1619782268 1709168246 2024727835 3418336492 4049455670 4272920615 8098911340 8545841230 11109593599 17091682460 19655434829 22219187198 39310869658 44438374396 55547967995 78621739316 98277174145 111095935990 196554348290 222191871980 255520652777 393108696580 511041305554 1022082611108 1277603263885 2555206527770 5110413055540