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5616663840 = 2532537310457
BaseRepresentation
bin1010011101100011…
…10111110100100000
3112111102202002022200
411032301313310200
543000331220330
62325200333200
7256120566144
oct51661676440
915442662280
105616663840
112422507747
121109014200
136b6840238
143b3d45224
1522d166a60
hex14ec77d20

5616663840 has 144 divisors (see below), whose sum is σ = 19220088888. Its totient is φ = 1493618688.

The previous prime is 5616663839. The next prime is 5616663931. The reversal of 5616663840 is 483666165.

It can be written as a sum of positive squares in 4 ways, for example, as 5381102736 + 235561104 = 73356^2 + 15348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×56166638403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 531892 + ... + 542348.

Almost surely, 25616663840 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 5616663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610044444).

5616663840 is an abundant number, since it is smaller than the sum of its proper divisors (13603425048).

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

5616663840 is a wasteful number, since it uses less digits than its factorization.

5616663840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10851 (or 10840 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5616663840 is about 74944.4049946359. The cubic root of 5616663840 is about 1777.5676747306.

The spelling of 5616663840 in words is "five billion, six hundred sixteen million, six hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 373 480 720 746 1119 1440 1492 1865 2238 2984 3357 3730 4476 5595 5968 6714 7460 8952 10457 11190 11936 13428 14920 16785 17904 20914 22380 26856 29840 31371 33570 35808 41828 44760 52285 53712 59680 62742 67140 83656 89520 94113 104570 107424 125484 134280 156855 167312 179040 188226 209140 250968 268560 313710 334624 376452 418280 470565 501936 537120 627420 752904 836560 941130 1003872 1254840 1505808 1673120 1882260 2509680 3011616 3764520 3900461 5019360 7529040 7800922 11701383 15058080 15601844 19502305 23402766 31203688 35104149 39004610 46805532 58506915 62407376 70208298 78009220 93611064 117013830 124814752 140416596 156018440 175520745 187222128 234027660 280833192 312036880 351041490 374444256 468055320 561666384 624073760 702082980 936110640 1123332768 1404165960 1872221280 2808331920 5616663840