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6005111009 = 2319710331283
BaseRepresentation
bin1011001011110111…
…01011100011100001
3120111111200020122212
411211323223203201
544244302023014
62431514211505
7301545413162
oct54573534341
916444606585
106005111009
112601801867
1211b7123b95
13749168231
1440d77d769
152522e723e
hex165eeb8e1

6005111009 has 16 divisors (see below), whose sum is σ = 6309021312. Its totient is φ = 5704879488.

The previous prime is 6005110981. The next prime is 6005111039. The reversal of 6005111009 is 9001115006.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6005111009 is a prime.

It is a super-2 number, since 2×60051110092 = 72122716460825996162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6005111039) 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 15 ways as a sum of consecutive naturals, for example, 4679882 + ... + 4681164.

It is an arithmetic number, because the mean of its divisors is an integer number (394313832).

Almost surely, 26005111009 is an apocalyptic number.

It is an amenable number.

6005111009 is a deficient number, since it is larger than the sum of its proper divisors (303910303).

6005111009 is a wasteful number, since it uses less digits than its factorization.

6005111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536.

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 6005111009 is about 77492.6513225609. The cubic root of 6005111009 is about 1817.6364086024.

The spelling of 6005111009 in words is "six billion, five million, one hundred eleven thousand, nine".

Divisors: 1 23 197 1033 1283 4531 23759 29509 203501 252751 1325339 4680523 5813273 30482797 261091783 6005111009