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5743323264 = 27377272939
BaseRepresentation
bin1010101100101010…
…00010100010000000
3112211021002001101110
411112111002202000
543230242321024
62345523203320
7262216304460
oct52625024200
915737061343
105743323264
112487a57858
121143516540
13706b59343
143c6ab5ba0
15239335629
hex156542880

5743323264 has 128 divisors (see below), whose sum is σ = 17465011200. Its totient is φ = 1638134784.

The previous prime is 5743323239. The next prime is 5743323293. The reversal of 5743323264 is 4623233475.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×57433232642 = 65971524229607227392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1952707 + ... + 1955645.

It is an arithmetic number, because the mean of its divisors is an integer number (136445400).

Almost surely, 25743323264 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 5743323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8732505600).

5743323264 is an abundant number, since it is smaller than the sum of its proper divisors (11721687936).

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

5743323264 is a wasteful number, since it uses less digits than its factorization.

5743323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3678 counting only the distinct ones).

The product of its digits is 362880, while the sum is 39.

The square root of 5743323264 is about 75784.7165594752. The cubic root of 5743323264 is about 1790.8302447752.

The spelling of 5743323264 in words is "five billion, seven hundred forty-three million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 727 896 1344 1454 2181 2688 2908 2939 4362 5089 5816 5878 8724 8817 10178 11632 11756 15267 17448 17634 20356 20573 23264 23512 30534 34896 35268 40712 41146 46528 47024 61068 61719 69792 70536 81424 82292 93056 94048 122136 123438 139584 141072 162848 164584 188096 244272 246876 279168 282144 325696 329168 376192 488544 493752 564288 651392 658336 977088 987504 1128576 1316672 1954176 1975008 2136653 2633344 3950016 4273306 6409959 7900032 8546612 12819918 14956571 17093224 25639836 29913142 34186448 44869713 51279672 59826284 68372896 89739426 102559344 119652568 136745792 179478852 205118688 239305136 273491584 358957704 410237376 478610272 717915408 820474752 957220544 1435830816 1914441088 2871661632 5743323264