Search a number
-
+
27493413360 = 2435716365127
BaseRepresentation
bin11001100110101111…
…000011000111110000
32121222001201002220220
4121212233003013300
5422301303211420
620344051133040
71662212105040
oct314657030760
977861632826
1027493413360
1110729351426
1253b35a4180
132791c9a93a
14148b5a1720
15aada4b840
hex666bc31f0

27493413360 has 80 divisors (see below), whose sum is σ = 97405241856. Its totient is φ = 6284208384.

The previous prime is 27493413289. The next prime is 27493413379. The reversal of 27493413360 is 6331439472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8180884 + ... + 8184243.

Almost surely, 227493413360 is an apocalyptic number.

27493413360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27493413360 is an abundant number, since it is smaller than the sum of its proper divisors (69911828496).

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

27493413360 is a wasteful number, since it uses less digits than its factorization.

27493413360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16365150 (or 16365144 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 27493413360 in words is "twenty-seven billion, four hundred ninety-three million, four hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 16365127 32730254 49095381 65460508 81825635 98190762 114555889 130921016 163651270 196381524 229111778 245476905 261842032 327302540 343667667 392763048 458223556 490953810 572779445 654605080 687335334 785526096 916447112 981907620 1145558890 1309210160 1374670668 1718338335 1832894224 1963815240 2291117780 2749341336 3436676670 3927630480 4582235560 5498682672 6873353340 9164471120 13746706680 27493413360