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5330311128 = 2332298330757
BaseRepresentation
bin1001111011011011…
…00001011111011000
3111202110220212020200
410331231201133120
541404024424003
62240531022200
7246042616452
oct47555413730
914673825220
105330311128
11229590470a
12104913a960
1366c41016c
14387cc52d2
15212e516a3
hex13db617d8

5330311128 has 96 divisors (see below), whose sum is σ = 15114481200. Its totient is φ = 1694778624.

The previous prime is 5330311061. The next prime is 5330311141. The reversal of 5330311128 is 8211130335.

5330311128 is a `hidden beast` number, since 5 + 330 + 311 + 12 + 8 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 157926 + ... + 188682.

Almost surely, 25330311128 is an apocalyptic number.

5330311128 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5330311128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557240600).

5330311128 is an abundant number, since it is smaller than the sum of its proper divisors (9784170072).

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

5330311128 is a wasteful number, since it uses less digits than its factorization.

5330311128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30881 (or 30874 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5330311128 is about 73008.9797764631. The cubic root of 5330311128 is about 1746.8308496742.

The spelling of 5330311128 in words is "five billion, three hundred thirty million, three hundred eleven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 83 87 116 166 174 232 249 261 332 348 498 522 664 696 747 996 1044 1494 1992 2088 2407 2988 4814 5976 7221 9628 14442 19256 21663 28884 30757 43326 57768 61514 86652 92271 123028 173304 184542 246056 276813 369084 553626 738168 891953 1107252 1783906 2214504 2552831 2675859 3567812 5105662 5351718 7135624 7658493 8027577 10211324 10703436 15316986 16055154 20422648 21406872 22975479 30633972 32110308 45950958 61267944 64220616 74032099 91901916 148064198 183803832 222096297 296128396 444192594 592256792 666288891 888385188 1332577782 1776770376 2665155564 5330311128