Search a number
-
+
5110105005552 = 243374779774929
BaseRepresentation
bin100101001011100100111…
…1111100101110111110000
3200002112002000002221022210
41022113021333211313300
51132210443340134202
614511314432532120
71035123110603211
oct112271177456760
920075060087283
105110105005552
1116a0202067918
126a64579b1040
132b0b5b268121
1413948a8a1408
158cdd3b5bc6c
hex4a5c9fe5df0

5110105005552 has 160 divisors (see below), whose sum is σ = 14021645414400. Its totient is φ = 1601534398464.

The previous prime is 5110105005541. The next prime is 5110105005553. The reversal of 5110105005552 is 2555005010115.

It is a super-2 number, since 2×51101050055522 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110105005553) 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, 6206824 + ... + 6981752.

It is an arithmetic number, because the mean of its divisors is an integer number (87635283840).

Almost surely, 25110105005552 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 5110105005552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010822707200).

5110105005552 is an abundant number, since it is smaller than the sum of its proper divisors (8911540408848).

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

5110105005552 is a wasteful number, since it uses less digits than its factorization.

5110105005552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775103 (or 775097 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 30.

The spelling of 5110105005552 in words is "five trillion, one hundred ten billion, one hundred five million, five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 47 48 74 79 94 111 141 148 158 188 222 237 282 296 316 376 444 474 564 592 632 752 888 948 1128 1264 1739 1776 1896 2256 2923 3478 3713 3792 5217 5846 6956 7426 8769 10434 11139 11692 13912 14852 17538 20868 22278 23384 27824 29704 35076 41736 44556 46768 59408 70152 83472 89112 137381 140304 178224 274762 412143 549524 774929 824286 1099048 1549858 1648572 2198096 2324787 3099716 3297144 4649574 6199432 6594288 9299148 12398864 18598296 28672373 36421663 37196592 57344746 61219391 72843326 86017119 109264989 114689492 122438782 145686652 172034238 183658173 218529978 229378984 244877564 291373304 344068476 367316346 437059956 458757968 489755128 582746608 688136952 734632692 874119912 979510256 1347601531 1376273904 1469265384 1748239824 2265117467 2695203062 2877311377 2938530768 4042804593 4530234934 5390406124 5754622754 6795352401 8085609186 8631934131 9060469868 10780812248 11509245508 13590704802 16171218372 17263868262 18120939736 21561624496 23018491016 27181409604 32342436744 34527736524 36241879472 46036982032 54362819208 64684873488 69055473048 106460520949 108725638416 138110946096 212921041898 319381562847 425842083796 638763125694 851684167592 1277526251388 1703368335184 2555052502776 5110105005552