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6488730848 = 253741349383
BaseRepresentation
bin1100000101100001…
…00010110011100000
3121202012200200100202
412002300202303200
5101242103341343
62551512004332
7316540205435
oct60260426340
917665620322
106488730848
11282a7a0586
1213110906a8
137c5406712
14457aadb8c
1527e9c6db8
hex182c22ce0

6488730848 has 96 divisors (see below), whose sum is σ = 13513651200. Its totient is φ = 3062845440.

The previous prime is 6488730823. The next prime is 6488730877. The reversal of 6488730848 is 8480378846.

It is a junction number, because it is equal to n+sod(n) for n = 6488730793 and 6488730802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16941665 + ... + 16942047.

It is an arithmetic number, because the mean of its divisors is an integer number (140767200).

Almost surely, 26488730848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6488730848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756825600).

6488730848 is an abundant number, since it is smaller than the sum of its proper divisors (7024920352).

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

6488730848 is a wasteful number, since it uses less digits than its factorization.

6488730848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 56.

The square root of 6488730848 is about 80552.6588512136. The cubic root of 6488730848 is about 1865.1764356652.

The spelling of 6488730848 in words is "six billion, four hundred eighty-eight million, seven hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 41 74 82 148 164 296 328 349 383 592 656 698 766 1184 1312 1396 1517 1532 2792 3034 3064 5584 6068 6128 11168 12136 12256 12913 14171 14309 15703 24272 25826 28342 28618 31406 48544 51652 56684 57236 62812 103304 113368 114472 125624 133667 206608 226736 228944 251248 267334 413216 453472 457888 502496 529433 534668 581011 1058866 1069336 1162022 2117732 2138672 2324044 4235464 4277344 4648088 4945679 5480347 8470928 9296176 9891358 10960694 16941856 18592352 19782716 21921388 39565432 43842776 79130864 87685552 158261728 175371104 202772839 405545678 811091356 1622182712 3244365424 6488730848