Search a number
-
+
27135342450 = 23252223270407
BaseRepresentation
bin11001010001011001…
…000111011101110010
32121001002221012222100
4121101121013131302
5421033121424300
620244340321230
71650303414366
oct312131073562
977032835870
1027135342450
1110565214457
1253136a3216
132735a49c68
141455bd32a6
15a8c3bb700
hex651647772

27135342450 has 72 divisors (see below), whose sum is σ = 73230812928. Its totient is φ = 7203615840.

The previous prime is 27135342341. The next prime is 27135342463. The reversal of 27135342450 is 5424353172.

27135342450 is a `hidden beast` number, since 2 + 71 + 3 + 534 + 2 + 4 + 50 = 666.

27135342450 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34854 + ... + 235553.

It is an arithmetic number, because the mean of its divisors is an integer number (1017094624).

Almost surely, 227135342450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27135342450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36615406464).

27135342450 is an abundant number, since it is smaller than the sum of its proper divisors (46095470478).

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

27135342450 is a wasteful number, since it uses less digits than its factorization.

27135342450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270648 (or 270640 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 27135342450 in words is "twenty-seven billion, one hundred thirty-five million, three hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 223 225 446 450 669 1115 1338 2007 2230 3345 4014 5575 6690 10035 11150 16725 20070 33450 50175 100350 270407 540814 811221 1352035 1622442 2433663 2704070 4056105 4867326 6760175 8112210 12168315 13520350 20280525 24336630 40561050 60300761 60841575 120601522 121683150 180902283 301503805 361804566 542706849 603007610 904511415 1085413698 1507519025 1809022830 2713534245 3015038050 4522557075 5427068490 9045114150 13567671225 27135342450