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6724000085 = 5114313612089
BaseRepresentation
bin1100100001100100…
…00001100101010101
3122100121101121002012
412100302001211111
5102232321000320
63031114354005
7325425025535
oct62062014525
918317347065
106724000085
112940582870
121377a2b905
1383208c19a
1447b0334c5
1529549b4c5
hex190c81955

6724000085 has 32 divisors (see below), whose sum is σ = 9017965440. Its totient is φ = 4770662400.

The previous prime is 6724000081. The next prime is 6724000097. The reversal of 6724000085 is 5800004276.

It is not a de Polignac number, because 6724000085 - 22 = 6724000081 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6724000081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3217721 + ... + 3219809.

It is an arithmetic number, because the mean of its divisors is an integer number (281811420).

Almost surely, 26724000085 is an apocalyptic number.

It is an amenable number.

6724000085 is a deficient number, since it is larger than the sum of its proper divisors (2293965355).

6724000085 is a wasteful number, since it uses less digits than its factorization.

6724000085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 6724000085 is about 82000.0005182927. Note that the first 3 decimals coincide. The cubic root of 6724000085 is about 1887.4519459719.

The spelling of 6724000085 in words is "six billion, seven hundred twenty-four million, eighty-five", and thus it is an aban number.

Divisors: 1 5 11 43 55 215 473 1361 2089 2365 6805 10445 14971 22979 58523 74855 89827 114895 292615 449135 643753 988097 2843129 3218765 4940485 14215645 31274419 122254547 156372095 611272735 1344800017 6724000085