Search a number
-
+
5505122560 = 2857312539
BaseRepresentation
bin1010010000010000…
…11000000100000000
3112012122212012110011
411020020120010000
542233302410220
62310133514304
7253264525000
oct51010300400
915178765404
105505122560
112375553073
1210977a2994
136996b8492
143a31cc000
1522348265a
hex148218100

5505122560 has 144 divisors (see below), whose sum is σ = 15379056000. Its totient is φ = 1887320064.

The previous prime is 5505122551. The next prime is 5505122593. The reversal of 5505122560 is 652215055.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432771 + ... + 445309.

It is an arithmetic number, because the mean of its divisors is an integer number (106799000).

Almost surely, 25505122560 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 5505122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689528000).

5505122560 is an abundant number, since it is smaller than the sum of its proper divisors (9873933440).

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

5505122560 is an equidigital number, since it uses as much as digits as its factorization.

5505122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12581 (or 12553 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The square root of 5505122560 is about 74196.5131256180. The cubic root of 5505122560 is about 1765.7220103786.

The spelling of 5505122560 in words is "five billion, five hundred five million, one hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 343 392 448 490 560 640 686 784 896 980 1120 1280 1372 1568 1715 1792 1960 2240 2744 3136 3430 3920 4480 5488 6272 6860 7840 8960 10976 12539 12544 13720 15680 21952 25078 27440 31360 43904 50156 54880 62695 62720 87773 87808 100312 109760 125390 175546 200624 219520 250780 351092 401248 438865 439040 501560 614411 702184 802496 877730 1003120 1228822 1404368 1604992 1755460 2006240 2457644 2808736 3072055 3209984 3510920 4012480 4300877 4915288 5617472 6144110 7021840 8024960 8601754 9830576 11234944 12288220 14043680 16049920 17203508 19661152 21504385 22469888 24576440 28087360 34407016 39322304 43008770 49152880 56174720 68814032 78644608 86017540 98305760 112349440 137628064 157289216 172035080 196611520 275256128 344070160 393223040 550512256 688140320 786446080 1101024512 1376280640 2752561280 5505122560