Search a number
-
+
463104748324 = 224124321932
BaseRepresentation
bin1101011110100110011…
…00011010101100100100
31122021100120021201202201
412233103030122230210
530041414303421244
6552425233544244
745313111261051
oct6572314325444
91567316251681
10463104748324
11169446614869
1275904a15084
13348943968ca
14185b3128028
15c0a69d1ad4
hex6bd331ab24

463104748324 has 81 divisors (see below), whose sum is σ = 854878843539. Its totient is φ = 219507886080.

The previous prime is 463104748307. The next prime is 463104748339. The reversal of 463104748324 is 423847401364.

It is a happy number.

The square root of 463104748324 is 680518.

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

It can be written as a sum of positive squares in 4 ways, for example, as 254409272100 + 208695476224 = 504390^2 + 456832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2399506372 + ... + 2399506564.

Almost surely, 2463104748324 is an apocalyptic number.

463104748324 is the 680518-th square number.

It is an amenable number.

463104748324 is a deficient number, since it is larger than the sum of its proper divisors (391774095215).

463104748324 is an equidigital number, since it uses as much as digits as its factorization.

463104748324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 46.

The spelling of 463104748324 in words is "four hundred sixty-three billion, one hundred four million, seven hundred forty-eight thousand, three hundred twenty-four".

Divisors: 1 2 4 41 43 82 86 164 172 193 386 772 1681 1763 1849 3362 3526 3698 6724 7052 7396 7913 8299 15826 16598 31652 33196 37249 72283 74498 75809 144566 148996 151618 289132 303236 324433 340259 356857 648866 680518 713714 1297732 1361036 1427428 1527209 1601707 3054418 3108169 3203414 6108836 6216338 6406828 12432676 13950619 14631137 27901238 29262274 55802476 58524548 62615569 65669987 68873401 125231138 131339974 137746802 250462276 262679948 275493604 599876617 1199753234 2399506468 2692469467 2823809441 5384938934 5647618882 10769877868 11295237764 115776187081 231552374162 463104748324