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30528708864 = 283232118191
BaseRepresentation
bin11100011011101001…
…110010000100000000
32220210121011002120220
4130123221302010000
51000010322140424
622005200103040
72130346513053
oct343351620400
986717132526
1030528708864
1111a46729905
125b00004a80
132b56a8c594
141698754a9a
15bda263579
hex71ba72100

30528708864 has 144 divisors (see below), whose sum is σ = 85195751424. Its totient is φ = 9686476800.

The previous prime is 30528708811. The next prime is 30528708913. The reversal of 30528708864 is 46880782503.

It is a happy number.

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, 3723009 + ... + 3731199.

Almost surely, 230528708864 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 30528708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42597875712).

30528708864 is an abundant number, since it is smaller than the sum of its proper divisors (54667042560).

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

30528708864 is a wasteful number, since it uses less digits than its factorization.

30528708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8444 (or 8430 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 30528708864 in words is "thirty billion, five hundred twenty-eight million, seven hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 211 256 276 368 384 422 552 633 736 768 844 1104 1266 1472 1688 2208 2532 2944 3376 4416 4853 5064 5888 6752 8191 8832 9706 10128 13504 14559 16382 17664 19412 20256 24573 27008 29118 32764 38824 40512 49146 54016 58236 65528 77648 81024 98292 116472 131056 155296 162048 188393 196584 232944 262112 310592 376786 393168 465888 524224 565179 621184 753572 786336 931776 1048448 1130358 1242368 1507144 1572672 1728301 1863552 2096896 2260716 3014288 3145344 3456602 3727104 4521432 5184903 6028576 6290688 6913204 9042864 10369806 12057152 13826408 18085728 20739612 24114304 27652816 36171456 39750923 41479224 48228608 55305632 72342912 79501846 82958448 110611264 119252769 144685824 159003692 165916896 221222528 238505538 318007384 331833792 442445056 477011076 636014768 663667584 954022152 1272029536 1327335168 1908044304 2544059072 3816088608 5088118144 7632177216 10176236288 15264354432 30528708864