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6108668016 = 2431155720771
BaseRepresentation
bin1011011000001101…
…01110000001110000
3120202201112111011120
411230012232001300
5100002304334031
62450053542240
7304243551513
oct55406560160
916681474146
106108668016
112655202770
121225944980
13764755a79
1441d418d7a
1525b450a96
hex16c1ae070

6108668016 has 80 divisors (see below), whose sum is σ = 17247074688. Its totient is φ = 1847699200.

The previous prime is 6108667951. The next prime is 6108668053.

6108668016 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283711 + ... + 304481.

Almost surely, 26108668016 is an apocalyptic number.

6108668016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6108668016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8623537344).

6108668016 is an abundant number, since it is smaller than the sum of its proper divisors (11138406672).

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

6108668016 is a wasteful number, since it uses less digits than its factorization.

6108668016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21350 (or 21344 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 6108668016 is about 78157.9683461642. The cubic root of 6108668016 is about 1828.0251837175.

The spelling of 6108668016 in words is "six billion, one hundred eight million, six hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 557 1114 1671 2228 3342 4456 6127 6684 8912 12254 13368 18381 20771 24508 26736 36762 41542 49016 62313 73524 83084 98032 124626 147048 166168 228481 249252 294096 332336 456962 498504 685443 913924 997008 1370886 1827848 2741772 3655696 5483544 10967088 11569447 23138894 34708341 46277788 69416682 92555576 127263917 138833364 185111152 254527834 277666728 381791751 509055668 555333456 763583502 1018111336 1527167004 2036222672 3054334008 6108668016