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768827664 = 243211485371
BaseRepresentation
bin101101110100110…
…110000100010000
31222120200111021200
4231310312010100
53033304441124
6204142351200
725023633033
oct5564660420
91876614250
10768827664
11364a8a670
1219558b500
13c338a417
147417301a
154776abc9
hex2dd36110

768827664 has 60 divisors (see below), whose sum is σ = 2347258992. Its totient is φ = 232977600.

The previous prime is 768827629. The next prime is 768827677. The reversal of 768827664 is 466728867.

It is a self number, because there is not a number n which added to its sum of digits gives 768827664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241102 + ... + 244269.

Almost surely, 2768827664 is an apocalyptic number.

It is an amenable number.

768827664 is an abundant number, since it is smaller than the sum of its proper divisors (1578431328).

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

768827664 is a wasteful number, since it uses less digits than its factorization.

768827664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485396 (or 485387 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 768827664 is about 27727.7417760625. The cubic root of 768827664 is about 916.1002477318.

The spelling of 768827664 in words is "seven hundred sixty-eight million, eight hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 485371 970742 1456113 1941484 2912226 3882968 4368339 5339081 5824452 7765936 8736678 10678162 11648904 16017243 17473356 21356324 23297808 32034486 34946712 42712648 48051729 64068972 69893424 85425296 96103458 128137944 192206916 256275888 384413832 768827664