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768288663 = 32269331699
BaseRepresentation
bin101101110010110…
…010011110010111
31222112200002220200
4231302302132113
53033140214123
6204123031543
725016226432
oct5562623627
91875602820
10768288663
1136475170a
1219536b5b3
13c322bc9c
1474072819
15476b1143
hex2dcb2797

768288663 has 12 divisors (see below), whose sum is σ = 1110197400. Its totient is φ = 511986096.

The previous prime is 768288641. The next prime is 768288671. The reversal of 768288663 is 366882867.

It is a happy number.

It is not a de Polignac number, because 768288663 - 212 = 768284567 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768288623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8388 + ... + 40086.

It is an arithmetic number, because the mean of its divisors is an integer number (92516450).

Almost surely, 2768288663 is an apocalyptic number.

768288663 is a deficient number, since it is larger than the sum of its proper divisors (341908737).

768288663 is a wasteful number, since it uses less digits than its factorization.

768288663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34398 (or 34395 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 768288663 is about 27718.0205462078. The cubic root of 768288663 is about 915.8861146178.

It can be divided in two parts, 76828 and 8663, that added together give a triangular number (85491 = T413).

The spelling of 768288663 in words is "seven hundred sixty-eight million, two hundred eighty-eight thousand, six hundred sixty-three".

Divisors: 1 3 9 2693 8079 24237 31699 95097 285291 85365407 256096221 768288663