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768903018 = 231322332969
BaseRepresentation
bin101101110101001…
…000011101101010
31222120211022122120
4231311020131222
53033314344033
6204144132110
725024365522
oct5565103552
91876738576
10768903018
11365031244
12195607036
13c33b5800
1474192682
15477831b3
hex2dd4876a

768903018 has 48 divisors (see below), whose sum is σ = 1737650880. Its totient is φ = 226292352.

The previous prime is 768903011. The next prime is 768903049. The reversal of 768903018 is 810309867.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (768903011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6838 + ... + 39806.

It is an arithmetic number, because the mean of its divisors is an integer number (36201060).

Almost surely, 2768903018 is an apocalyptic number.

768903018 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 768903018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868825440).

768903018 is an abundant number, since it is smaller than the sum of its proper divisors (968747862).

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

768903018 is a wasteful number, since it uses less digits than its factorization.

768903018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33023 (or 33010 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 768903018 is about 27729.1005624056. The cubic root of 768903018 is about 916.1301762261.

The spelling of 768903018 in words is "seven hundred sixty-eight million, nine hundred three thousand, eighteen".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 169 299 338 507 598 897 1014 1794 3887 7774 11661 23322 32969 65938 98907 197814 428597 758287 857194 1285791 1516574 2274861 2571582 4549722 5571761 9857731 11143522 16715283 19715462 29573193 33430566 59146386 128150503 256301006 384451509 768903018