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766016331 = 31924155763
BaseRepresentation
bin101101101010000…
…111101101001011
31222101101122212020
4231222013231023
53032100010311
6204002215523
724661013523
oct5552075513
91871348766
10766016331
1136343a453
121946545a3
13c2914902
1473a40683
15473b2c06
hex2da87b4b

766016331 has 16 divisors (see below), whose sum is σ = 1079591040. Its totient is φ = 481783680.

The previous prime is 766016323. The next prime is 766016347. The reversal of 766016331 is 133610667.

It is not a de Polignac number, because 766016331 - 23 = 766016323 is a prime.

It is a super-2 number, since 2×7660163312 = 1173562038717403122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 766016292 and 766016301.

It is not an unprimeable number, because it can be changed into a prime (766016131) 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 15 ways as a sum of consecutive naturals, for example, 14145 + ... + 41618.

It is an arithmetic number, because the mean of its divisors is an integer number (67474440).

Almost surely, 2766016331 is an apocalyptic number.

766016331 is a deficient number, since it is larger than the sum of its proper divisors (313574709).

766016331 is a wasteful number, since it uses less digits than its factorization.

766016331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56026.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 766016331 is about 27677.0000361311. Note that the first 4 decimals coincide. The cubic root of 766016331 is about 914.9822648777.

Adding to 766016331 its reverse (133610667), we get a palindrome (899626998).

The spelling of 766016331 in words is "seven hundred sixty-six million, sixteen thousand, three hundred thirty-one".

Divisors: 1 3 19 57 241 723 4579 13737 55763 167289 1059497 3178491 13438883 40316649 255338777 766016331