Search a number
-
+
27804869568 = 263372298683
BaseRepresentation
bin11001111001010011…
…001010001111000000
32122202202202201112000
4121321103022033000
5423421021311233
620435014504000
72003013330450
oct317123121700
978682681460
1027804869568
1110879140053
12547b965000
13281167a058
1414baab7d60
15acb06ed13
hex6794ca3c0

27804869568 has 112 divisors (see below), whose sum is σ = 93418517760. Its totient is φ = 7944244992.

The previous prime is 27804869567. The next prime is 27804869569. The reversal of 27804869568 is 86596840872.

27804869568 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 4 + 8 + 69 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (27804869567) and next prime (27804869569).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×278048695682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27804869567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137246 + ... + 1161437.

Almost surely, 227804869568 is an apocalyptic number.

27804869568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27804869568 is an abundant number, since it is smaller than the sum of its proper divisors (65613648192).

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

27804869568 is a wasteful number, since it uses less digits than its factorization.

27804869568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298711 (or 2298695 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 27804869568 in words is "twenty-seven billion, eight hundred four million, eight hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 2298683 4597366 6896049 9194732 13792098 16090781 18389464 20688147 27584196 32181562 36778928 41376294 48272343 55168392 62064441 64363124 73557856 82752588 96544686 110336784 124128882 128726248 144817029 147115712 165505176 193089372 220673568 248257764 257452496 289634058 331010352 386178744 434451087 441347136 496515528 514904992 579268116 662020704 772357488 868902174 993031056 1029809984 1158536232 1324041408 1544714976 1737804348 1986062112 2317072464 3089429952 3475608696 3972124224 4634144928 6951217392 9268289856 13902434784 27804869568