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5733148288 = 27761910337
BaseRepresentation
bin1010101011011100…
…01110011010000000
3112210112221002221111
411111232032122000
543220141221123
62344521133104
7262033646020
oct52556163200
915715832844
105733148288
11248223818a
12114002a194
13704a05c4a
143c55c7a80
152384c590d
hex155b8e680

5733148288 has 64 divisors (see below), whose sum is σ = 13075502400. Its totient is φ = 2452856832.

The previous prime is 5733148279. The next prime is 5733148349. The reversal of 5733148288 is 8828413375.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549456 + ... + 559792.

It is an arithmetic number, because the mean of its divisors is an integer number (204304725).

Almost surely, 25733148288 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 5733148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6537751200).

5733148288 is an abundant number, since it is smaller than the sum of its proper divisors (7342354112).

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

5733148288 is a wasteful number, since it uses less digits than its factorization.

5733148288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10977 (or 10965 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

The square root of 5733148288 is about 75717.5560091581. The cubic root of 5733148288 is about 1789.7720638155.

The spelling of 5733148288 in words is "five billion, seven hundred thirty-three million, one hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 619 896 1238 2476 4333 4952 8666 9904 10337 17332 19808 20674 34664 39616 41348 69328 72359 79232 82696 138656 144718 165392 277312 289436 330784 554624 578872 661568 1157744 1323136 2315488 4630976 6398603 9261952 12797206 25594412 44790221 51188824 89580442 102377648 179160884 204755296 358321768 409510592 716643536 819021184 1433287072 2866574144 5733148288