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486828548361 = 32172136812
BaseRepresentation
bin1110001010110010011…
…11100010000100001001
31201112120220210122100100
413011121033202010021
530434011102021421
61011351305200013
750113031245611
oct7053117420411
91645526718310
10486828548361
11178510029981
127a425a90009
1336ba53a90cc
14197c3bc7a41
15c9e4615c26
hex71593e2109

486828548361 has 27 divisors (see below), whose sum is σ = 747049121013. Its totient is φ = 305438722560.

The previous prime is 486828548359. The next prime is 486828548447. The reversal of 486828548361 is 163845828684.

The square root of 486828548361 is 697731.

It is a perfect power (a square), and thus also a powerful number.

486828548361 is a `hidden beast` number, since 4 + 8 + 6 + 8 + 28 + 548 + 3 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 262016015625 + 224812532736 = 511875^2 + 474144^2 .

It is not a de Polignac number, because 486828548361 - 21 = 486828548359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (486828548161) 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 26 ways as a sum of consecutive naturals, for example, 35577441 + ... + 35591121.

Almost surely, 2486828548361 is an apocalyptic number.

486828548361 is the 697731-st square number.

486828548361 is the 348866-th centered octagonal number.

It is an amenable number.

486828548361 is a deficient number, since it is larger than the sum of its proper divisors (260220572652).

486828548361 is an frugal number, since it uses more digits than its factorization.

486828548361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27402 (or 13701 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 486828548361 in words is "four hundred eighty-six billion, eight hundred twenty-eight million, five hundred forty-eight thousand, three hundred sixty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 13681 41043 123129 232577 697731 2093193 3953809 11861427 35584281 187169761 561509283 1684527849 3181885937 9545657811 28636973433 54092060929 162276182787 486828548361