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520117677 = 32411409533
BaseRepresentation
bin11111000000000…
…101110110101101
31100020200201022200
4133000011312231
52031122231202
6123335532113
715613633032
oct3700056655
91306621280
10520117677
11247658122
1212622a039
13839a9c51
144d111389
15309dde1c
hex1f005dad

520117677 has 12 divisors (see below), whose sum is σ = 769605564. Its totient is φ = 338287680.

The previous prime is 520117657. The next prime is 520117681. The reversal of 520117677 is 776711025.

It can be written as a sum of positive squares in 2 ways, for example, as 6687396 + 513430281 = 2586^2 + 22659^2 .

It is not a de Polignac number, because 520117677 - 215 = 520084909 is a prime.

It is a Smith number, since the sum of its digits (36) 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 (520117657) 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, 704398 + ... + 705135.

It is an arithmetic number, because the mean of its divisors is an integer number (64133797).

Almost surely, 2520117677 is an apocalyptic number.

It is an amenable number.

520117677 is a deficient number, since it is larger than the sum of its proper divisors (249487887).

520117677 is a wasteful number, since it uses less digits than its factorization.

520117677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409580 (or 1409577 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 520117677 is about 22806.0885949345. The cubic root of 520117677 is about 804.2058070073.

The spelling of 520117677 in words is "five hundred twenty million, one hundred seventeen thousand, six hundred seventy-seven".

Divisors: 1 3 9 41 123 369 1409533 4228599 12685797 57790853 173372559 520117677