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5082359168 = 27175214483
BaseRepresentation
bin1001011101110111…
…01010010110000000
3111010012100121002202
410232323222112000
540402040443133
62200152332332
7236642224445
oct45673522600
914105317082
105082359168
11217894a737
12b9a0a40a8
1362cc36a23
14362dbd9cc
151eb2c42e8
hex12eeea580

5082359168 has 64 divisors (see below), whose sum is σ = 10743574320. Its totient is φ = 2386575360.

The previous prime is 5082359123. The next prime is 5082359189. The reversal of 5082359168 is 8619532805.

It is a tau number, because it is divible by the number of its divisors (64).

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, 1131455 + ... + 1135937.

Almost surely, 25082359168 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 5082359168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371787160).

5082359168 is an abundant number, since it is smaller than the sum of its proper divisors (5661215152).

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

5082359168 is a wasteful number, since it uses less digits than its factorization.

5082359168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The square root of 5082359168 is about 71290.6667664148. Note that the first 3 decimals coincide. The cubic root of 5082359168 is about 1719.3136760585.

The spelling of 5082359168 in words is "five billion, eighty-two million, three hundred fifty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 521 544 1042 1088 2084 2176 4168 4483 8336 8857 8966 16672 17714 17932 33344 35428 35864 66688 70856 71728 76211 141712 143456 152422 283424 286912 304844 566848 573824 609688 1133696 1219376 2335643 2438752 4671286 4877504 9342572 9755008 18685144 37370288 39705931 74740576 79411862 149481152 158823724 298962304 317647448 635294896 1270589792 2541179584 5082359168