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5453084736 = 263211278241
BaseRepresentation
bin1010001010000011…
…10111100001000000
3112002000221101222100
411011001313201000
542131442202421
62301034310400
7252063312141
oct50501674100
915060841870
105453084736
112349140300
121082288400
1368b998678
1439a323ac8
1521db03c26
hex145077840

5453084736 has 126 divisors (see below), whose sum is σ = 17180613086. Its totient is φ = 1652428800.

The previous prime is 5453084719. The next prime is 5453084761. The reversal of 5453084736 is 6374803545.

5453084736 is a `hidden beast` number, since 5 + 4 + 530 + 84 + 7 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5425206336 + 27878400 = 73656^2 + 5280^2 .

It is a super-2 number, since 2×54530847362 = 59472266275992379392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5453084691 and 5453084700.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30576 + ... + 108816.

Almost surely, 25453084736 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 5453084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8590306543).

5453084736 is an abundant number, since it is smaller than the sum of its proper divisors (11727528350).

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

5453084736 is a wasteful number, since it uses less digits than its factorization.

5453084736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78281 (or 78257 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5453084736 is about 73845.0048141376. The cubic root of 5453084736 is about 1760.1408220655.

The spelling of 5453084736 in words is "five billion, four hundred fifty-three million, eighty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 23232 34848 69696 78241 156482 234723 312964 469446 625928 704169 860651 938892 1251856 1408338 1721302 1877784 2503712 2581953 2816676 3442604 3755568 5007424 5163906 5633352 6885208 7511136 7745859 9467161 10327812 11266704 13770416 15022272 15491718 18934322 20655624 22533408 27540832 28401483 30983436 37868644 41311248 45066816 55081664 56802966 61966872 75737288 82622496 85204449 113605932 123933744 151474576 165244992 170408898 227211864 247867488 302949152 340817796 454423728 495734976 605898304 681635592 908847456 1363271184 1817694912 2726542368 5453084736