Search a number
-
+
5105500555518 = 23211471117491159
BaseRepresentation
bin100101001001011011110…
…0011000000100011111110
3200002002012010000122022100
41022102313203000203332
51132122031120234033
614505233511325530
71034601030454506
oct112226743004376
920062163018270
105105500555518
111699259a66410
126a55919808a6
132b05a635048c
14139171166a06
158cc147da513
hex4a4b78c08fe

5105500555518 has 96 divisors (see below), whose sum is σ = 12335361592320. Its totient is φ = 1512845225280.

The previous prime is 5105500555511. The next prime is 5105500555523. The reversal of 5105500555518 is 8155550055015.

It is a super-2 number, since 2×51055005555182 (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 (5105500555511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10149223 + ... + 10640381.

It is an arithmetic number, because the mean of its divisors is an integer number (128493349920).

Almost surely, 25105500555518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105500555518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167680796160).

5105500555518 is an abundant number, since it is smaller than the sum of its proper divisors (7229861036802).

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

5105500555518 is a wasteful number, since it uses less digits than its factorization.

5105500555518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492342 (or 492339 counting only the distinct ones).

The product of its (nonzero) digits is 625000, while the sum is 45.

The spelling of 5105500555518 in words is "five trillion, one hundred five billion, five hundred million, five hundred fifty-five thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1117 1551 2234 3102 3351 4653 6702 9306 10053 12287 20106 24574 36861 52499 73722 104998 110583 157497 221166 314994 472491 491159 577489 944982 982318 1154978 1473477 1732467 2946954 3464934 4420431 5197401 5402749 8840862 10394802 10805498 16208247 23084473 32416494 46168946 48624741 69253419 97249482 138506838 207760257 253929203 415520514 507858406 548624603 761787609 1097249206 1523575218 1645873809 2285362827 3291747618 4570725654 4937621427 6034870633 9875242854 12069741266 18104611899 25785356341 36209223798 51570712682 54313835697 77356069023 108627671394 154712138046 232068207069 283638919751 464136414138 567277839502 850916759253 1701833518506 2552750277759 5105500555518