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5281840368 = 243275699209
BaseRepresentation
bin1001110101101001…
…00111110011110000
3111122002201021212100
410322310213303300
541304122342433
62232040100400
7244613621340
oct47264476360
914562637770
105281840368
112270508932
121034a64700
1366236bb3c
143816a8d20
1520da79b13
hex13ad27cf0

5281840368 has 120 divisors (see below), whose sum is σ = 16925032800. Its totient is φ = 1506281472.

The previous prime is 5281840351. The next prime is 5281840379. The reversal of 5281840368 is 8630481825.

5281840368 is a `hidden beast` number, since 5 + 281 + 8 + 4 + 0 + 368 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568948 + ... + 578156.

It is an arithmetic number, because the mean of its divisors is an integer number (141041940).

Almost surely, 25281840368 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 5281840368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8462516400).

5281840368 is an abundant number, since it is smaller than the sum of its proper divisors (11643192432).

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

5281840368 is a wasteful number, since it uses less digits than its factorization.

5281840368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9799 (or 9790 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5281840368 is about 72676.2710105575. The cubic root of 5281840368 is about 1741.5198294477.

The spelling of 5281840368 in words is "five billion, two hundred eighty-one million, eight hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 569 1008 1138 1707 2276 3414 3983 4552 5121 6828 7966 9104 9209 10242 11949 13656 15932 18418 20484 23898 27312 27627 31864 35847 36836 40968 47796 55254 63728 64463 71694 73672 81936 82881 95592 110508 128926 143388 147344 165762 191184 193389 221016 257852 286776 331524 386778 442032 515704 573552 580167 663048 773556 1031408 1160334 1326096 1547112 2320668 3094224 4641336 5239921 9282672 10479842 15719763 20959684 31439526 36679447 41919368 47159289 62879052 73358894 83838736 94318578 110038341 125758104 146717788 188637156 220076682 251516208 293435576 330115023 377274312 440153364 586871152 660230046 754548624 880306728 1320460092 1760613456 2640920184 5281840368