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5366500416 = 26329419901
BaseRepresentation
bin1001111111101111…
…00100110001000000
3111212000000110121200
410333313210301000
541442311003131
62244302421200
7246662333544
oct47767446100
914760013550
105366500416
112304282212
121059291800
13676a71344
1438ca25a24
152161ee2e6
hex13fde4c40

5366500416 has 84 divisors (see below), whose sum is σ = 15400006284. Its totient is φ = 1786752000.

The previous prime is 5366500409. The next prime is 5366500421. The reversal of 5366500416 is 6140056635.

5366500416 is a `hidden beast` number, since 53 + 66 + 500 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4422782016 + 943718400 = 66504^2 + 30720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537066 + ... + 546966.

Almost surely, 25366500416 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 5366500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700003142).

5366500416 is an abundant number, since it is smaller than the sum of its proper divisors (10033505868).

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

5366500416 is a wasteful number, since it uses less digits than its factorization.

5366500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10860 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5366500416 is about 73256.4018772421. The cubic root of 5366500416 is about 1750.7752120302.

The spelling of 5366500416 in words is "five billion, three hundred sixty-six million, five hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 941 1882 2823 3764 5646 7528 8469 9901 11292 15056 16938 19802 22584 29703 30112 33876 39604 45168 59406 60224 67752 79208 89109 90336 118812 135504 158416 178218 180672 237624 271008 316832 356436 475248 542016 633664 712872 950496 1425744 1900992 2851488 5702976 9316841 18633682 27950523 37267364 55901046 74534728 83851569 111802092 149069456 167703138 223604184 298138912 335406276 447208368 596277824 670812552 894416736 1341625104 1788833472 2683250208 5366500416