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4561130784 = 253714945553
BaseRepresentation
bin1000011111101110…
…10101010100100000
3102202212120110011210
410033313111110200
533320122141114
62032332510120
7221012654250
oct41767252440
912685513153
104561130784
111a30704081
12a7361b340
13578c5b372
14313a9d960
151ba666259
hex10fdd5520

4561130784 has 96 divisors (see below), whose sum is σ = 13775529600. Its totient is φ = 1294405632.

The previous prime is 4561130779. The next prime is 4561130797. The reversal of 4561130784 is 4870311654.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77352 + ... + 122904.

It is an arithmetic number, because the mean of its divisors is an integer number (143495100).

Almost surely, 24561130784 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 4561130784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887764800).

4561130784 is an abundant number, since it is smaller than the sum of its proper divisors (9214398816).

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

4561130784 is a wasteful number, since it uses less digits than its factorization.

4561130784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45722 (or 45714 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 4561130784 is about 67536.1442784529. The cubic root of 4561130784 is about 1658.4059289640.

The spelling of 4561130784 in words is "four billion, five hundred sixty-one million, one hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 149 168 224 298 336 447 596 672 894 1043 1192 1788 2086 2384 3129 3576 4172 4768 6258 7152 8344 12516 14304 16688 25032 33376 45553 50064 91106 100128 136659 182212 273318 318871 364424 546636 637742 728848 956613 1093272 1275484 1457696 1913226 2186544 2550968 3826452 4373088 5101936 6787397 7652904 10203872 13574794 15305808 20362191 27149588 30611616 40724382 47511779 54299176 81448764 95023558 108598352 142535337 162897528 190047116 217196704 285070674 325795056 380094232 570141348 651590112 760188464 1140282696 1520376928 2280565392 4561130784