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27046527066 = 232133728111117
BaseRepresentation
bin11001001100000110…
…010100000001011010
32120210220210221011200
4121030012110001122
5420342402331231
620231444535030
71645144454406
oct311406240132
976726727150
1027046527066
111051a072109
1252a99b1476
132720521290
1414480b4106
15a846c5be6
hex64c19405a

27046527066 has 96 divisors (see below), whose sum is σ = 65050706448. Its totient is φ = 8067548160.

The previous prime is 27046527059. The next prime is 27046527133. The reversal of 27046527066 is 66072564072.

27046527066 is a `hidden beast` number, since 27 + 0 + 46 + 527 + 0 + 66 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10778800041 + 16267727025 = 103821^2 + 127545^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2427340 + ... + 2438456.

Almost surely, 227046527066 is an apocalyptic number.

27046527066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27046527066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32525353224).

27046527066 is an abundant number, since it is smaller than the sum of its proper divisors (38004179382).

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

27046527066 is a wasteful number, since it uses less digits than its factorization.

27046527066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11456 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 27046527066 in words is "twenty-seven billion, forty-six million, five hundred twenty-seven thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 281 333 481 562 666 843 962 1443 1686 2529 2886 3653 4329 5058 7306 8658 10397 10959 11117 20794 21918 22234 31191 32877 33351 62382 65754 66702 93573 100053 135161 144521 187146 200106 270322 289042 405483 411329 433563 810966 822658 867126 1216449 1233987 1300689 2432898 2467974 2601378 3123877 3701961 5347277 6247754 7403922 9371631 10694554 16041831 18743262 28114893 32083662 40610401 48125493 56229786 81220802 96250986 115583449 121831203 231166898 243662406 346750347 365493609 693500694 730987218 1040251041 1502584837 2080502082 3005169674 4507754511 9015509022 13523263533 27046527066