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6368195648 = 2617191791721
BaseRepresentation
bin1011110111001001…
…01111010001000000
3121102210212212011002
411323210233101000
5101020224230043
62531524311132
7313544525033
oct57344572100
917383785132
106368195648
112778753711
1212988424a8
137a6453009
14445a9501a
15274117bb8
hex17b92f440

6368195648 has 112 divisors (see below), whose sum is σ = 14171371200. Its totient is φ = 2821570560.

The previous prime is 6368195539. The next prime is 6368195663. The reversal of 6368195648 is 8465918636.

It is a happy number.

It is a super-2 number, since 2×63681956482 = 81107831622412279808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6368195593 and 6368195602.

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, 3699428 + ... + 3701148.

It is an arithmetic number, because the mean of its divisors is an integer number (126530100).

Almost surely, 26368195648 is an apocalyptic number.

6368195648 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 6368195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085685600).

6368195648 is an abundant number, since it is smaller than the sum of its proper divisors (7803175552).

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

6368195648 is a wasteful number, since it uses less digits than its factorization.

6368195648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1938 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 56.

The square root of 6368195648 is about 79800.9752321361. The cubic root of 6368195648 is about 1853.5549514440.

The spelling of 6368195648 in words is "six billion, three hundred sixty-eight million, one hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 179 272 304 323 358 544 608 646 716 1088 1216 1292 1432 1721 2584 2864 3043 3401 3442 5168 5728 6086 6802 6884 10336 11456 12172 13604 13768 20672 24344 27208 27536 29257 32699 48688 54416 55072 57817 58514 65398 97376 108832 110144 115634 117028 130796 194752 217664 231268 234056 261592 308059 462536 468112 523184 555883 616118 925072 936224 1046368 1111766 1232236 1850144 1872448 2092736 2223532 2464472 3700288 4447064 4928944 5237003 5853121 8894128 9857888 10474006 11706242 17788256 19715776 20948012 23412484 35576512 41896024 46824968 83792048 93649936 99503057 167584096 187299872 199006114 335168192 374599744 398012228 796024456 1592048912 3184097824 6368195648