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6482898048 = 273111790281
BaseRepresentation
bin1100000100110100…
…10010110010000000
3121201210201100021010
412002122102302000
5101234110214143
62551143000520
7316436503254
oct60232226200
917653640233
106482898048
112827477290
12130b139140
137c4143863
14456dd2264
1527e223a33
hex182692c80

6482898048 has 128 divisors (see below), whose sum is σ = 19890930240. Its totient is φ = 1848934400.

The previous prime is 6482898041. The next prime is 6482898089. The reversal of 6482898048 is 8408982846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6482898041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26668 + ... + 116948.

Almost surely, 26482898048 is an apocalyptic number.

6482898048 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6482898048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9945465120).

6482898048 is an abundant number, since it is smaller than the sum of its proper divisors (13408032192).

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

6482898048 is a wasteful number, since it uses less digits than its factorization.

6482898048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90326 (or 90314 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The square root of 6482898048 is about 80516.4458231981. The cubic root of 6482898048 is about 1864.6173914384.

The spelling of 6482898048 in words is "six billion, four hundred eighty-two million, eight hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2992 3264 4224 4488 5984 6528 8976 11968 17952 23936 35904 71808 90281 180562 270843 361124 541686 722248 993091 1083372 1444496 1534777 1986182 2166744 2888992 2979273 3069554 3972364 4333488 4604331 5777984 5958546 6139108 7944728 8666976 9208662 11555968 11917092 12278216 15889456 16882547 17333952 18417324 23834184 24556432 31778912 33765094 34667904 36834648 47668368 49112864 50647641 63557824 67530188 73669296 95336736 98225728 101295282 127115648 135060376 147338592 190673472 196451456 202590564 270120752 294677184 381346944 405181128 540241504 589354368 810362256 1080483008 1620724512 2160966016 3241449024 6482898048