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6530895648 = 253317094423
BaseRepresentation
bin1100001010100010…
…11000111100100000
3121212011000212121000
412011101120330200
5101333402130043
63000015432000
7320561461044
oct60521307440
917764025530
106530895648
11285157a622
121323225600
1380107a6c4
1445d528024
152835552d3
hex185458f20

6530895648 has 96 divisors (see below), whose sum is σ = 19063900800. Its totient is φ = 2175199488.

The previous prime is 6530895611. The next prime is 6530895649. The reversal of 6530895648 is 8465980356.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6530895594 and 6530895603.

It is not an unprimeable number, because it can be changed into a prime (6530895649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1474365 + ... + 1478787.

It is an arithmetic number, because the mean of its divisors is an integer number (198582300).

Almost surely, 26530895648 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 6530895648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9531950400).

6530895648 is an abundant number, since it is smaller than the sum of its proper divisors (12533005152).

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

6530895648 is a wasteful number, since it uses less digits than its factorization.

6530895648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 6530895648 is about 80813.9570123874. The cubic root of 6530895648 is about 1869.2077866730.

The spelling of 6530895648 in words is "six billion, five hundred thirty million, eight hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1709 3418 4423 5127 6836 8846 10254 13269 13672 15381 17692 20508 26538 27344 30762 35384 39807 41016 46143 53076 54688 61524 70768 79614 82032 92286 106152 119421 123048 141536 159228 164064 184572 212304 238842 246096 318456 369144 424608 477684 492192 636912 738288 955368 1273824 1476576 1910736 3821472 7558907 15117814 22676721 30235628 45353442 60471256 68030163 90706884 120942512 136060326 181413768 204090489 241885024 272120652 362827536 408180978 544241304 725655072 816361956 1088482608 1632723912 2176965216 3265447824 6530895648