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6448071616 = 26719773061
BaseRepresentation
bin1100000000101010…
…11100001111000000
3121122101011222101021
412000111130033000
5101201201242431
62543500315224
7315534463420
oct60025341700
917571158337
106448071616
11280984a708
1212bb542b14
137b9b6babc
14452528480
1527b144b11
hex18055c3c0

6448071616 has 56 divisors (see below), whose sum is σ = 14697736416. Its totient is φ = 2749393920.

The previous prime is 6448071607. The next prime is 6448071647. The reversal of 6448071616 is 6161708446.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51726 + ... + 124786.

Almost surely, 26448071616 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 6448071616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7348868208).

6448071616 is an abundant number, since it is smaller than the sum of its proper divisors (8249664800).

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

6448071616 is a wasteful number, since it uses less digits than its factorization.

6448071616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73277 (or 73267 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 6448071616 is about 80299.8855291837. The cubic root of 6448071616 is about 1861.2724572299.

The spelling of 6448071616 in words is "six billion, four hundred forty-eight million, seventy-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 197 224 394 448 788 1379 1576 2758 3152 5516 6304 11032 12608 22064 44128 73061 88256 146122 292244 511427 584488 1022854 1168976 2045708 2337952 4091416 4675904 8182832 14393017 16365664 28786034 32731328 57572068 100751119 115144136 201502238 230288272 403004476 460576544 806008952 921153088 1612017904 3224035808 6448071616