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6434006064 = 243433117251
BaseRepresentation
bin1011111110111111…
…10010010000110000
3121121101201101001220
411333133302100300
5101134101143224
62542235025040
7315304102113
oct57737622060
917541641056
106434006064
112801912a92
1212b689b180
137b6c858a5
1445070657a
15279cb7279
hex17f7f2430

6434006064 has 40 divisors (see below), whose sum is σ = 17007726912. Its totient is φ = 2094792000.

The previous prime is 6434006041. The next prime is 6434006069. The reversal of 6434006064 is 4606004346.

It is not an unprimeable number, because it can be changed into a prime (6434006069) 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 7 ways as a sum of consecutive naturals, for example, 1556562 + ... + 1560689.

Almost surely, 26434006064 is an apocalyptic number.

It is an amenable number.

6434006064 is an abundant number, since it is smaller than the sum of its proper divisors (10573720848).

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

6434006064 is a wasteful number, since it uses less digits than its factorization.

6434006064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117305 (or 3117299 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 6434006064 is about 80212.2563203405. The cubic root of 6434006064 is about 1859.9181048461.

The spelling of 6434006064 in words is "six billion, four hundred thirty-four million, six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 3117251 6234502 9351753 12469004 18703506 24938008 37407012 49876016 74814024 134041793 149628048 268083586 402125379 536167172 804250758 1072334344 1608501516 2144668688 3217003032 6434006064