Search a number
-
+
6542460064 = 257171718083
BaseRepresentation
bin1100001011111011…
…00000010010100000
3121212221210101222201
412011331200102200
5101344332210224
63001111342544
7321061664410
oct60575402240
917787711881
106542460064
112858059098
121327081a54
1380359935a
14460c98640
1528458ba44
hex185f604a0

6542460064 has 48 divisors (see below), whose sum is σ = 15586458048. Its totient is φ = 2638973952.

The previous prime is 6542460053. The next prime is 6542460083. The reversal of 6542460064 is 4600642456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855234 + ... + 862849.

It is an arithmetic number, because the mean of its divisors is an integer number (324717876).

Almost surely, 26542460064 is an apocalyptic number.

It is an amenable number.

6542460064 is an abundant number, since it is smaller than the sum of its proper divisors (9043997984).

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

6542460064 is a wasteful number, since it uses less digits than its factorization.

6542460064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718117 (or 1718109 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 6542460064 is about 80885.4749877875. The cubic root of 6542460064 is about 1870.3104200279.

The spelling of 6542460064 in words is "six billion, five hundred forty-two million, four hundred sixty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 1718083 3436166 6872332 12026581 13744664 24053162 27489328 29207411 48106324 54978656 58414822 96212648 116829644 192425296 204451877 233659288 384850592 408903754 467318576 817807508 934637152 1635615016 3271230032 6542460064