Search a number
-
+
6566104480 = 2551317185693
BaseRepresentation
bin1100001110101111…
…01100110110100000
3121221121021200000211
412013113230312200
5101421410320410
63003314223504
7321466652515
oct60727546640
917847250024
106566104480
11286a438531
121332b84b94
13808457530
1446409130c
152866ac68a
hex1875ecda0

6566104480 has 96 divisors (see below), whose sum is σ = 17688467664. Its totient is φ = 2281783296.

The previous prime is 6566104459. The next prime is 6566104483. The reversal of 6566104480 is 844016656.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4185054864 + 2381049616 = 64692^2 + 48796^2 .

It is a super-2 number, since 2×65661044802 = 86227456084552140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6566104483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57487 + ... + 128206.

Almost surely, 26566104480 is an apocalyptic number.

It is an amenable number.

6566104480 is an abundant number, since it is smaller than the sum of its proper divisors (11122363184).

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

6566104480 is a wasteful number, since it uses less digits than its factorization.

6566104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185738 (or 185730 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 6566104480 is about 81031.5030096320. The cubic root of 6566104480 is about 1872.5608085526.

The spelling of 6566104480 in words is "six billion, five hundred sixty-six million, one hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 17680 35360 185693 371386 742772 928465 1485544 1856930 2414009 2971088 3156781 3713860 4828018 5942176 6313562 7427720 9656036 12070045 12627124 14855440 15783905 19312072 24140090 25254248 29710880 31567810 38624144 41038153 48280180 50508496 63135620 77248288 82076306 96560360 101016992 126271240 164152612 193120720 205190765 252542480 328305224 386241440 410381530 505084960 656610448 820763060 1313220896 1641526120 3283052240 6566104480