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6481735161 = 3112931435081
BaseRepresentation
bin1100000100101011…
…10110110111111001
3121201201112021002020
412002111312313321
5101233311011121
62551102025053
7316423561026
oct60225666771
917651467066
106481735161
112826852620
12130a878189
137c3b27465
14456bac54d
1527e0941c6
hex182576df9

6481735161 has 64 divisors (see below), whose sum is σ = 10303856640. Its totient is φ = 3584448000.

The previous prime is 6481735111. The next prime is 6481735201. The reversal of 6481735161 is 1615371846.

6481735161 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6481735161 - 210 = 6481734137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6481735111) 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 63 ways as a sum of consecutive naturals, for example, 1273141 + ... + 1278221.

It is an arithmetic number, because the mean of its divisors is an integer number (160997760).

Almost surely, 26481735161 is an apocalyptic number.

It is an amenable number.

6481735161 is a deficient number, since it is larger than the sum of its proper divisors (3822121479).

6481735161 is a wasteful number, since it uses less digits than its factorization.

6481735161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198.

The product of its digits is 120960, while the sum is 42.

The square root of 6481735161 is about 80509.2240740153. The cubic root of 6481735161 is about 1864.5058945445.

The spelling of 6481735161 in words is "six billion, four hundred eighty-one million, seven hundred thirty-five thousand, one hundred sixty-one".

Divisors: 1 3 11 29 31 33 43 87 93 129 319 341 473 899 957 1023 1247 1333 1419 2697 3741 3999 5081 9889 13717 14663 15243 29667 38657 41151 43989 55891 115971 147349 157511 167673 218483 425227 442047 472533 655449 1275681 1620839 1732621 2403313 4567819 4862517 5197863 6336007 6772973 7209939 13703457 19008021 20318919 50246009 69696077 74502703 150738027 196416217 209088231 223508109 589248651 2160578387 6481735161