Search a number
-
+
6496564704 = 253727413527
BaseRepresentation
bin1100000110011100…
…11011010111100000
3121202202102200101120
412003032123113200
5101301110032304
62552351532240
7316663613610
oct60316332740
917682380346
106496564704
112834161243
12131382a080
137c6c1a336
14458b4ca40
152805230d9
hex18339b5e0

6496564704 has 96 divisors (see below), whose sum is σ = 19502332416. Its totient is φ = 1854958080.

The previous prime is 6496564703. The next prime is 6496564741. The reversal of 6496564704 is 4074656946.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) 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 (6496564703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1840189 + ... + 1843715.

It is an arithmetic number, because the mean of its divisors is an integer number (203149296).

Almost surely, 26496564704 is an apocalyptic number.

It is an amenable number.

6496564704 is an abundant number, since it is smaller than the sum of its proper divisors (13005767712).

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

6496564704 is a wasteful number, since it uses less digits than its factorization.

6496564704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6288 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The square root of 6496564704 is about 80601.2698659271. The cubic root of 6496564704 is about 1865.9267440445.

The spelling of 6496564704 in words is "six billion, four hundred ninety-six million, five hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2741 3527 5482 7054 8223 10581 10964 14108 16446 19187 21162 21928 24689 28216 32892 38374 42324 43856 49378 56432 57561 65784 74067 76748 84648 87712 98756 112864 115122 131568 148134 153496 169296 197512 230244 263136 296268 306992 338592 395024 460488 592536 613984 790048 920976 1185072 1841952 2370144 9667507 19335014 29002521 38670028 58005042 67672549 77340056 116010084 135345098 154680112 203017647 232020168 270690196 309360224 406035294 464040336 541380392 812070588 928080672 1082760784 1624141176 2165521568 3248282352 6496564704