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6553442336 = 257178831949
BaseRepresentation
bin1100001101001110…
…11001100000100000
3121220201110100211112
412012213121200200
5101410140123321
63002143002452
7321254224610
oct60647314040
917821410745
106553442336
11286327a251
12132a899428
1380594303c
14462516a40
1528550aa5b
hex1869d9820

6553442336 has 96 divisors (see below), whose sum is σ = 15638313600. Its totient is φ = 2639056896.

The previous prime is 6553442327. The next prime is 6553442381. The reversal of 6553442336 is 6332443556.

It is a junction number, because it is equal to n+sod(n) for n = 6553442293 and 6553442302.

It is an unprimeable number.

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, 3361490 + ... + 3363438.

It is an arithmetic number, because the mean of its divisors is an integer number (162899100).

Almost surely, 26553442336 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 6553442336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819156800).

6553442336 is an abundant number, since it is smaller than the sum of its proper divisors (9084871264).

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

6553442336 is a wasteful number, since it uses less digits than its factorization.

6553442336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2858 counting only the distinct ones).

The product of its digits is 777600, while the sum is 41.

The square root of 6553442336 is about 80953.3343105767. The cubic root of 6553442336 is about 1871.3563454240.

The spelling of 6553442336 in words is "six billion, five hundred fifty-three million, four hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 883 952 1766 1904 1949 3532 3808 3898 6181 7064 7796 12362 13643 14128 15011 15592 24724 27286 28256 30022 31184 33133 49448 54572 60044 62368 66266 98896 105077 109144 120088 132532 197792 210154 218288 231931 240176 265064 420308 436576 463862 480352 530128 840616 927724 1060256 1681232 1720967 1855448 3362464 3441934 3710896 6883868 7421792 12046769 13767736 24093538 27535472 29256439 48187076 55070944 58512878 96374152 117025756 192748304 204795073 234051512 385496608 409590146 468103024 819180292 936206048 1638360584 3276721168 6553442336