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5733465672 = 2331122994837
BaseRepresentation
bin1010101011011110…
…11011111001001000
3112210120112020022110
411111233123321020
543220231400142
62344532022320
7262036440234
oct52557337110
915716466273
105733465672
112482434690
1211401619a0
13704ab754c
143c566b5c4
1523853999c
hex155bdbe48

5733465672 has 64 divisors (see below), whose sum is σ = 15705172800. Its totient is φ = 1729808640.

The previous prime is 5733465643. The next prime is 5733465709. The reversal of 5733465672 is 2765643375.

It is a super-3 number, since 3×57334656723 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13038 + ... + 107874.

It is an arithmetic number, because the mean of its divisors is an integer number (245393325).

Almost surely, 25733465672 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 5733465672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7852586400).

5733465672 is an abundant number, since it is smaller than the sum of its proper divisors (9971707128).

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

5733465672 is a wasteful number, since it uses less digits than its factorization.

5733465672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95086 (or 95082 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 48.

The square root of 5733465672 is about 75719.6518217035. The cubic root of 5733465672 is about 1789.8050901451.

The spelling of 5733465672 in words is "five billion, seven hundred thirty-three million, four hundred sixty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 229 264 458 687 916 1374 1832 2519 2748 5038 5496 7557 10076 15114 20152 30228 60456 94837 189674 284511 379348 569022 758696 1043207 1138044 2086414 2276088 3129621 4172828 6259242 8345656 12518484 21717673 25036968 43435346 65153019 86870692 130306038 173741384 238894403 260612076 477788806 521224152 716683209 955577612 1433366418 1911155224 2866732836 5733465672