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6684916608 = 27331934293
BaseRepresentation
bin1100011100111001…
…11011101110000000
3122020212211221122000
412032130323232000
5102142314312413
63023200544000
7324441565536
oct61634735600
918225757560
106684916608
112920508877
121366922000
13826c56876
14475b7c156
15291d2b073
hex18e73bb80

6684916608 has 64 divisors (see below), whose sum is σ = 19729798800. Its totient is φ = 2228304384.

The previous prime is 6684916607. The next prime is 6684916631. The reversal of 6684916608 is 8066194866.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×66849166082 = 89376220111828451328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6684916603) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 963691 + ... + 970602.

Almost surely, 26684916608 is an apocalyptic number.

It is an amenable number.

6684916608 is an abundant number, since it is smaller than the sum of its proper divisors (13044882192).

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

6684916608 is a wasteful number, since it uses less digits than its factorization.

6684916608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934316 (or 1934298 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6684916608 is about 81761.3393236681. The cubic root of 6684916608 is about 1883.7878782640.

The spelling of 6684916608 in words is "six billion, six hundred eighty-four million, nine hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 1934293 3868586 5802879 7737172 11605758 15474344 17408637 23211516 30948688 34817274 46423032 52225911 61897376 69634548 92846064 104451822 123794752 139269096 185692128 208903644 247589504 278538192 371384256 417807288 557076384 742768512 835614576 1114152768 1671229152 2228305536 3342458304 6684916608