Search a number
-
+
5505555060 = 22325171979133
BaseRepresentation
bin1010010000010100…
…00001101001110100
3112012200200011201200
411020022001221310
542233410230220
62310151052500
7253301305635
oct51012015164
915180604650
105505555060
112375819005
121097971130
1369980a2b5
143a32a188c
1522351a890
hex148281a74

5505555060 has 144 divisors (see below), whose sum is σ = 17774252496. Its totient is φ = 1374621696.

The previous prime is 5505555053. The next prime is 5505555067. The reversal of 5505555060 is 605555055.

5505555060 is a `hidden beast` number, since 5 + 50 + 55 + 550 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5505555053) and next prime (5505555067).

It can be written as a sum of positive squares in 8 ways, for example, as 1546376976 + 3959178084 = 39324^2 + 62922^2 .

It is a super-2 number, since 2×55055550602 = 60622273037383207200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505555067) 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, 598254 + ... + 607386.

It is an arithmetic number, because the mean of its divisors is an integer number (123432309).

Almost surely, 25505555060 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 5505555060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8887126248).

5505555060 is an abundant number, since it is smaller than the sum of its proper divisors (12268697436).

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

5505555060 is a wasteful number, since it uses less digits than its factorization.

5505555060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9362 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The square root of 5505555060 is about 74199.4276258247. The cubic root of 5505555060 is about 1765.7682494201.

The spelling of 5505555060 in words is "five billion, five hundred five million, five hundred fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 197 204 255 306 340 394 510 591 612 765 788 985 1020 1182 1530 1773 1970 2364 2955 3060 3349 3546 3940 5910 6698 7092 8865 9133 10047 11820 13396 16745 17730 18266 20094 27399 30141 33490 35460 36532 40188 45665 50235 54798 60282 66980 82197 91330 100470 109596 120564 136995 150705 155261 164394 182660 200940 273990 301410 310522 328788 410985 465783 547980 602820 621044 776305 821970 931566 1397349 1552610 1643940 1799201 1863132 2328915 2794698 3105220 3598402 4657830 5397603 5589396 6986745 7196804 8996005 9315660 10795206 13973490 16192809 17992010 21590412 26988015 27946980 30586417 32385618 35984020 53976030 61172834 64771236 80964045 91759251 107952060 122345668 152932085 161928090 183518502 275277753 305864170 323856180 367037004 458796255 550555506 611728340 917592510 1101111012 1376388765 1835185020 2752777530 5505555060