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30535824384 = 2103213254873
BaseRepresentation
bin11100011100000100…
…111011010000000000
32220211002112121020200
4130130010323100000
51000014132340014
622010012405200
72130464140032
oct343404732000
986732477220
1030535824384
1111a4a7498aa
125b02476800
132b583b1250
141699687c52
15bdabbba09
hex71c13b400

30535824384 has 132 divisors (see below), whose sum is σ = 94954328196. Its totient is φ = 9395601408.

The previous prime is 30535824349. The next prime is 30535824401. The reversal of 30535824384 is 48342853503.

30535824384 is a `hidden beast` number, since 3 + 0 + 535 + 82 + 4 + 38 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2472873984 + 28062950400 = 49728^2 + 167520^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7629 + ... + 247244.

Almost surely, 230535824384 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 30535824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47477164098).

30535824384 is an abundant number, since it is smaller than the sum of its proper divisors (64418503812).

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

30535824384 is a wasteful number, since it uses less digits than its factorization.

30535824384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254912 (or 254891 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 30535824384 in words is "thirty billion, five hundred thirty-five million, eight hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2304 2496 3072 3328 3744 4608 4992 6656 7488 9216 9984 13312 14976 19968 29952 39936 59904 119808 254873 509746 764619 1019492 1529238 2038984 2293857 3058476 3313349 4077968 4587714 6116952 6626698 8155936 9175428 9940047 12233904 13253396 16311872 18350856 19880094 24467808 26506792 29820141 32623744 36701712 39760188 48935616 53013584 59640282 65247488 73403424 79520376 97871232 106027168 119280564 130494976 146806848 159040752 195742464 212054336 238561128 260989952 293613696 318081504 391484928 424108672 477122256 587227392 636163008 782969856 848217344 954244512 1174454784 1272326016 1696434688 1908489024 2348909568 2544652032 3392869376 3816978048 5089304064 7633956096 10178608128 15267912192 30535824384