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6381979482564 = 223272601492
BaseRepresentation
bin101110011011110101110…
…0111101011100111000100
3211121010000010022210020100
41130313223213223213010
51314030243221420224
621323501345004100
71226040254354400
oct134675347534704
924533003283210
106381979482564
112040645049334
12870a54023630
13373a83435a6a
14180c64944100
15b10237c3ac9
hex5cdeb9eb9c4

6381979482564 has 81 divisors (see below), whose sum is σ = 18766370714637. Its totient is φ = 1823392394208.

The previous prime is 6381979482533. The next prime is 6381979482577. The reversal of 6381979482564 is 4652849791836.

The square root of 6381979482564 is 2526258.

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

6381979482564 is a `hidden beast` number, since 6 + 3 + 8 + 1 + 97 + 9 + 482 + 56 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1840477516164 + 4541501966400 = 1356642^2 + 2131080^2 .

It is a super-2 number, since 2×63819794825642 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6381979482492 and 6381979482501.

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, 106072762 + ... + 106132910.

Almost surely, 26381979482564 is an apocalyptic number.

6381979482564 is the 2526258-th square number.

It is an amenable number.

6381979482564 is an abundant number, since it is smaller than the sum of its proper divisors (12384391232073).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6381979482564 is an frugal number, since it uses more digits than its factorization.

6381979482564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120322 (or 60161 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 6381979482564 in words is "six trillion, three hundred eighty-one billion, nine hundred seventy-nine million, four hundred eighty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 60149 120298 180447 240596 360894 421043 541341 721788 842086 1082682 1263129 1684172 2165364 2526258 2947301 3789387 5052516 5894602 7578774 8841903 11789204 15157548 17683806 26525709 35367612 53051418 106102836 3617902201 7235804402 10853706603 14471608804 21707413206 25325315407 32561119809 43414826412 50650630814 65122239618 75975946221 101301261628 130244479236 151951892442 177277207849 227927838663 303903784884 354554415698 455855677326 531831623547 709108831396 911711354652 1063663247094 1595494870641 2127326494188 3190989741282 6381979482564