Search a number
-
+
6493081968 = 243248719257
BaseRepresentation
bin1100000110000010…
…01001000101110000
3121202111212201222100
412003001021011300
5101244212110333
62552145140400
7316622200062
oct60301110560
917674781870
106493081968
1128321a264a
12131262a700
137c629b049
144584c3732
15280086213
hex183049170

6493081968 has 60 divisors (see below), whose sum is σ = 18177305328. Its totient is φ = 2163682560.

The previous prime is 6493081927. The next prime is 6493082003. The reversal of 6493081968 is 8691803946.

It is a super-2 number, since 2×64930819682 = 84320226886333506048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 696796 + ... + 706052.

Almost surely, 26493081968 is an apocalyptic number.

It is an amenable number.

6493081968 is an abundant number, since it is smaller than the sum of its proper divisors (11684223360).

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

6493081968 is a wasteful number, since it uses less digits than its factorization.

6493081968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14142 (or 14133 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 6493081968 is about 80579.6622479891. The cubic root of 6493081968 is about 1865.5932502597.

The spelling of 6493081968 in words is "six billion, four hundred ninety-three million, eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4871 9257 9742 14613 18514 19484 27771 29226 37028 38968 43839 55542 58452 74056 77936 83313 87678 111084 116904 148112 166626 175356 222168 233808 333252 350712 444336 666504 701424 1333008 45090847 90181694 135272541 180363388 270545082 360726776 405817623 541090164 721453552 811635246 1082180328 1623270492 2164360656 3246540984 6493081968