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768130517 = 72112361961
BaseRepresentation
bin101101110010001…
…011110111010101
31222112101001222102
4231302023313111
53033120134032
6204115411445
725015000400
oct5562136725
91875331872
10768130517
11364653910
121952b3b85
13c31a4ccb
1474030d37
154767e362
hex2dc8bdd5

768130517 has 24 divisors (see below), whose sum is σ = 1017168192. Its totient is φ = 572510400.

The previous prime is 768130513. The next prime is 768130523. The reversal of 768130517 is 715031867.

It is not a de Polignac number, because 768130517 - 22 = 768130513 is a prime.

It is a super-2 number, since 2×7681305172 = 1180048982293374578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768130513) 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, 18584 + ... + 43377.

It is an arithmetic number, because the mean of its divisors is an integer number (42382008).

Almost surely, 2768130517 is an apocalyptic number.

768130517 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

768130517 is a deficient number, since it is larger than the sum of its proper divisors (249037675).

768130517 is a wasteful number, since it uses less digits than its factorization.

768130517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62009 (or 62002 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 768130517 is about 27715.1676343478. The cubic root of 768130517 is about 915.8232677253.

The spelling of 768130517 in words is "seven hundred sixty-eight million, one hundred thirty thousand, five hundred seventeen".

Divisors: 1 7 11 23 49 77 161 253 539 1127 1771 12397 61961 433727 681571 1425103 3036089 4770997 9975721 15676133 33396979 69830047 109732931 768130517