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6448853061 = 3271943349359
BaseRepresentation
bin1100000000110000…
…11011000001000101
3121122102122200022200
412000120123001011
5101201401244221
62543525145113
7315544226610
oct60030330105
917572580280
106448853061
11280a233832
1212bb85b199
137ba0836b1
1445268d177
1527b24b426
hex18061b045

6448853061 has 96 divisors (see below), whose sum is σ = 11531520000. Its totient is φ = 3390678144.

The previous prime is 6448853041. The next prime is 6448853087. The reversal of 6448853061 is 1603588446.

6448853061 is a `hidden beast` number, since 64 + 488 + 53 + 0 + 61 = 666.

It is not a de Polignac number, because 6448853061 - 217 = 6448721989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6448852998 and 6448853016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448853041) 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 95 ways as a sum of consecutive naturals, for example, 17963200 + ... + 17963558.

It is an arithmetic number, because the mean of its divisors is an integer number (120120000).

Almost surely, 26448853061 is an apocalyptic number.

It is an amenable number.

6448853061 is a deficient number, since it is larger than the sum of its proper divisors (5082666939).

6448853061 is a wasteful number, since it uses less digits than its factorization.

6448853061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6448853061 is about 80304.7511732650. The cubic root of 6448853061 is about 1861.3476437037.

The spelling of 6448853061 in words is "six billion, four hundred forty-eight million, eight hundred fifty-three thousand, sixty-one".

Divisors: 1 3 7 9 19 21 43 57 63 129 133 171 301 349 359 387 399 817 903 1047 1077 1197 2443 2451 2513 2709 3141 3231 5719 6631 6821 7329 7353 7539 15007 15437 17157 19893 20463 21987 22617 45021 46311 46417 47747 51471 59679 61389 105049 108059 125291 135063 138933 139251 143241 285133 293303 315147 324177 375873 417753 429723 855399 877037 879909 945441 972531 1127619 1995931 2053121 2380529 2566197 2631111 2639727 5387513 5987793 6159363 7141587 7893333 16162539 16663703 17963379 18478089 21424761 37712591 48487617 49991109 102362747 113137773 149973327 307088241 339413319 716539229 921264723 2149617687 6448853061