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516086263 = 71133120249
BaseRepresentation
bin11110110000101…
…101100111110111
31022222002220021001
4132300231213313
52024104230023
6123113304131
715534442450
oct3660554767
91288086231
10516086263
11245354280
12124a05047
1382bc7cb4
144c782127
15304946ad
hex1ec2d9f7

516086263 has 16 divisors (see below), whose sum is σ = 645408000. Its totient is φ = 400910400.

The previous prime is 516086251. The next prime is 516086267. The reversal of 516086263 is 362680615.

It is not a de Polignac number, because 516086263 - 25 = 516086231 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516086267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15363 + ... + 35611.

It is an arithmetic number, because the mean of its divisors is an integer number (40338000).

Almost surely, 2516086263 is an apocalyptic number.

516086263 is a deficient number, since it is larger than the sum of its proper divisors (129321737).

516086263 is a wasteful number, since it uses less digits than its factorization.

516086263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20598.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 516086263 is about 22717.5320622642. The cubic root of 516086263 is about 802.1226250766.

The spelling of 516086263 in words is "five hundred sixteen million, eighty-six thousand, two hundred sixty-three".

Divisors: 1 7 11 77 331 2317 3641 20249 25487 141743 222739 1559173 6702419 46916933 73726609 516086263