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6005229006 = 237220425949
BaseRepresentation
bin1011001011111000…
…01000010111001110
3120111111220020112010
411211330020113032
544244314312011
62431520522050
7301546414200
oct54574102716
916444806463
106005229006
112601882487
1211b7180326
137491a9b5a
1440d7b0770
1525231c1a6
hex165f085ce

6005229006 has 24 divisors (see below), whose sum is σ = 13971349800. Its totient is φ = 1715779632.

The previous prime is 6005228993. The next prime is 6005229017. The reversal of 6005229006 is 6009225006.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10212681 + ... + 10213268.

It is an arithmetic number, because the mean of its divisors is an integer number (582139575).

Almost surely, 26005229006 is an apocalyptic number.

6005229006 is an abundant number, since it is smaller than the sum of its proper divisors (7966120794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6005229006 is a wasteful number, since it uses less digits than its factorization.

6005229006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20425968 (or 20425961 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6005229006 is about 77493.4126619805. The cubic root of 6005229006 is about 1817.6483136967.

The spelling of 6005229006 in words is "six billion, five million, two hundred twenty-nine thousand, six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 20425949 40851898 61277847 122555694 142981643 285963286 428944929 857889858 1000871501 2001743002 3002614503 6005229006