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6005066081 = 72122552369
BaseRepresentation
bin1011001011110111…
…00000100101100001
3120111111120222000212
411211323200211201
544244244103311
62431513223505
7301545135200
oct54573404541
916444528025
106005066081
112601781033
1211b7101b95
13749150951
1440d76b237
152522d8c8b
hex165ee0961

6005066081 has 6 divisors (see below), whose sum is σ = 6985485090. Its totient is φ = 5147199456.

The previous prime is 6005066059. The next prime is 6005066083. The reversal of 6005066081 is 1806605006.

It can be written as a sum of positive squares in only one way, i.e., 5941943056 + 63123025 = 77084^2 + 7945^2 .

It is not a de Polignac number, because 6005066081 - 214 = 6005049697 is a prime.

It is a super-2 number, since 2×60050660812 = 72121637274353397122, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6005066083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61276136 + ... + 61276233.

It is an arithmetic number, because the mean of its divisors is an integer number (1164247515).

Almost surely, 26005066081 is an apocalyptic number.

It is an amenable number.

6005066081 is a deficient number, since it is larger than the sum of its proper divisors (980419009).

6005066081 is a wasteful number, since it uses less digits than its factorization.

6005066081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122552383 (or 122552376 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 6005066081 is about 77492.3614364668. The cubic root of 6005066081 is about 1817.6318756319.

The spelling of 6005066081 in words is "six billion, five million, sixty-six thousand, eighty-one".

Divisors: 1 7 49 122552369 857866583 6005066081