Search a number
-
+
5509980288 = 27316
BaseRepresentation
bin1010010000110101…
…11010000010000000
3112020000000000000000
411020122322002000
542241023332123
62310430000000
7253354026321
oct51032720200
915200000000
105509980288
11237827081a
121099346000
1369a6c9587
143a3ad4448
15223ae1b43
hex1486ba080

5509980288 has 136 divisors (see below), whose sum is σ = 16465370655. Its totient is φ = 1836660096.

The previous prime is 5509980253. The next prime is 5509980341. The reversal of 5509980288 is 8820899055.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5509980288 is a `hidden beast` number, since 550 + 9 + 9 + 8 + 0 + 2 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2754990144 + 2754990144 = 52488^2 + 52488^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=52488.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 16 ways as a sum of consecutive naturals, for example, 1836660095 + 1836660096 + 1836660097.

Almost surely, 25509980288 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 5509980288

5509980288 is an abundant number, since it is smaller than the sum of its proper divisors (10955390367).

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

5509980288 is an frugal number, since it uses more digits than its factorization.

5509980288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The square root of 5509980288 is about 74229.2414618390. The cubic root of 5509980288 is about 1766.2412162328.

The spelling of 5509980288 in words is "five billion, five hundred nine million, nine hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2187 2592 2916 3456 3888 4374 5184 5832 6561 7776 8748 10368 11664 13122 15552 17496 19683 23328 26244 31104 34992 39366 46656 52488 59049 69984 78732 93312 104976 118098 139968 157464 177147 209952 236196 279936 314928 354294 419904 472392 531441 629856 708588 839808 944784 1062882 1259712 1417176 1594323 1889568 2125764 2519424 2834352 3188646 3779136 4251528 4782969 5668704 6377292 7558272 8503056 9565938 11337408 12754584 14348907 17006112 19131876 22674816 25509168 28697814 34012224 38263752 43046721 51018336 57395628 68024448 76527504 86093442 102036672 114791256 153055008 172186884 204073344 229582512 306110016 344373768 459165024 612220032 688747536 918330048 1377495072 1836660096 2754990144 5509980288