Search a number
-
+
27375265456 = 2471131370991
BaseRepresentation
bin11001011111101100…
…010110011010110000
32121122211101120110121
4121133230112122300
5422031031443311
620324230540024
71656245626360
oct313754263260
977584346417
1027375265456
1110678695130
12537bb07614
132773671a36
141479a089a0
15aa34aeb71
hex65fb166b0

27375265456 has 80 divisors (see below), whose sum is σ = 66339468288. Its totient is φ = 10631462400.

The previous prime is 27375265409. The next prime is 27375265457. The reversal of 27375265456 is 65456257372.

It is not an unprimeable number, because it can be changed into a prime (27375265457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350121 + ... + 421111.

Almost surely, 227375265456 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 27375265456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33169734144).

27375265456 is an abundant number, since it is smaller than the sum of its proper divisors (38964202832).

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

27375265456 is a wasteful number, since it uses less digits than its factorization.

27375265456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71330 (or 71324 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 52.

The spelling of 27375265456 in words is "twenty-seven billion, three hundred seventy-five million, two hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 313 616 626 1232 1252 2191 2504 3443 4382 5008 6886 8764 13772 17528 24101 27544 35056 48202 55088 70991 96404 141982 192808 283964 385616 496937 567928 780901 993874 1135856 1561802 1987748 3123604 3975496 5466307 6247208 7950992 10932614 12494416 21865228 22220183 43730456 44440366 87460912 88880732 155541281 177761464 244422013 311082562 355522928 488844026 622165124 977688052 1244330248 1710954091 1955376104 2488660496 3421908182 3910752208 6843816364 13687632728 27375265456