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5617840128 = 21231726893
BaseRepresentation
bin1010011101101100…
…10111000000000000
3112111111221211212220
411032312113000000
543001131341003
62325241451040
7256133565435
oct51666270000
915444854786
105617840128
11242314048a
1211094a0a80
136b6b62774
143b416db8c
1522d2ea353
hex14ed97000

5617840128 has 104 divisors (see below), whose sum is σ = 15860790288. Its totient is φ = 1762394112.

The previous prime is 5617840121. The next prime is 5617840133. The reversal of 5617840128 is 8210487165.

It is a self number, because there is not a number n which added to its sum of digits gives 5617840128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5617840121) 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 7 ways as a sum of consecutive naturals, for example, 195450 + ... + 222342.

Almost surely, 25617840128 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 5617840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7930395144).

5617840128 is an abundant number, since it is smaller than the sum of its proper divisors (10242950160).

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

5617840128 is a wasteful number, since it uses less digits than its factorization.

5617840128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26937 (or 26915 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 5617840128 is about 74952.2523210610. The cubic root of 5617840128 is about 1777.6917570230.

The spelling of 5617840128 in words is "five billion, six hundred seventeen million, eight hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8704 12288 13056 17408 26112 26893 34816 52224 53786 69632 80679 104448 107572 161358 208896 215144 322716 430288 457181 645432 860576 914362 1290864 1371543 1721152 1828724 2581728 2743086 3442304 3657448 5163456 5486172 6884608 7314896 10326912 10972344 13769216 14629792 20653824 21944688 27538432 29259584 41307648 43889376 55076864 58519168 82615296 87778752 110153728 117038336 165230592 175557504 234076672 330461184 351115008 468153344 702230016 936306688 1404460032 1872613376 2808920064 5617840128