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6768967576 = 237595034073
BaseRepresentation
bin1100100110111011…
…00011111110011000
3122110202000011212211
412103131203332120
5102330323430301
63035402244504
7326512163230
oct62335437630
918422004784
106768967576
1129639a6588
12138aab6734
1383b4a4a77
14482dbacc0
152993d0051
hex193763f98

6768967576 has 64 divisors (see below), whose sum is σ = 14783731200. Its totient is φ = 2845448448.

The previous prime is 6768967573. The next prime is 6768967577. The reversal of 6768967576 is 6757698676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768967573) 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, 1659876 + ... + 1663948.

It is an arithmetic number, because the mean of its divisors is an integer number (230995800).

Almost surely, 26768967576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6768967576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7391865600).

6768967576 is an abundant number, since it is smaller than the sum of its proper divisors (8014763624).

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

6768967576 is a wasteful number, since it uses less digits than its factorization.

6768967576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4644 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 67.

The square root of 6768967576 is about 82273.7356390240. The cubic root of 6768967576 is about 1891.6501155035.

The spelling of 6768967576 in words is "six billion, seven hundred sixty-eight million, nine hundred sixty-seven thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 503 826 1006 1652 2012 3304 3521 4024 4073 7042 8146 14084 16292 28168 28511 29677 32584 57022 59354 114044 118708 207739 228088 237416 240307 415478 480614 830956 961228 1661912 1682149 1922456 2048719 3364298 4097438 6728596 8194876 13457192 14341033 16389752 28682066 57364132 114728264 120874421 241748842 483497684 846120947 966995368 1692241894 3384483788 6768967576