Search a number
-
+
27464664105 = 3257113076577
BaseRepresentation
bin11001100101000001…
…011000010000101001
32121220001121111100200
4121211001120100221
5422221423222410
620341143022413
71661412536004
oct314501302051
977801544320
1027464664105
11107140a570a
1253a5a3aa09
132789043048
14148783a53b
15aab26d3c0
hex665058429

27464664105 has 48 divisors (see below), whose sum is σ = 48320198784. Its totient is φ = 14428270080.

The previous prime is 27464664043. The next prime is 27464664121. The reversal of 27464664105 is 50146646472.

27464664105 is a `hidden beast` number, since 27 + 464 + 6 + 64 + 105 = 666.

It is not a de Polignac number, because 27464664105 - 27 = 27464663977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4172577 + ... + 4179153.

It is an arithmetic number, because the mean of its divisors is an integer number (1006670808).

Almost surely, 227464664105 is an apocalyptic number.

It is an amenable number.

27464664105 is a deficient number, since it is larger than the sum of its proper divisors (20855534679).

27464664105 is a wasteful number, since it uses less digits than its factorization.

27464664105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7966 (or 7963 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 27464664105 in words is "twenty-seven billion, four hundred sixty-four million, six hundred sixty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 45 71 213 355 639 1065 1307 3195 3921 6535 6577 11763 19605 19731 32885 58815 59193 92797 98655 278391 295965 463985 466967 835173 1391955 1400901 2334835 4175865 4202703 7004505 8596139 21013515 25788417 42980695 77365251 128942085 386826255 610325869 1830977607 3051629345 5492932821 9154888035 27464664105