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30082866048 = 27344367477
BaseRepresentation
bin11100000001000101…
…000001101110000000
32212122112012221020000
4130001011001232000
5443102203203143
621453032120000
72113324066554
oct340105015600
985575187200
1030082866048
1111837aa2574
1259b6836000
132ab55b9b71
141655459864
15bb1046bd3
hex701141b80

30082866048 has 160 divisors (see below), whose sum is σ = 91609482360. Its totient is φ = 9794276352.

The previous prime is 30082866043. The next prime is 30082866071. The reversal of 30082866048 is 84066828003.

It is a happy number.

30082866048 is a `hidden beast` number, since 30 + 0 + 8 + 2 + 8 + 6 + 604 + 8 = 666.

It is a super-2 number, since 2×300828660482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30082865994 and 30082866012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30082866043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 412086 + ... + 479562.

Almost surely, 230082866048 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 30082866048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45804741180).

30082866048 is an abundant number, since it is smaller than the sum of its proper divisors (61526616312).

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

30082866048 is an equidigital number, since it uses as much as digits as its factorization.

30082866048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67546 (or 67525 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 30082866048 in words is "thirty billion, eighty-two million, eight hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 144 162 172 192 216 258 288 324 344 384 387 432 516 576 648 688 774 864 1032 1152 1161 1296 1376 1548 1728 2064 2322 2592 2752 3096 3456 3483 4128 4644 5184 5504 6192 6966 8256 9288 10368 12384 13932 16512 18576 24768 27864 37152 49536 55728 67477 74304 111456 134954 148608 202431 222912 269908 404862 445824 539816 607293 809724 1079632 1214586 1619448 1821879 2159264 2429172 2901511 3238896 3643758 4318528 4858344 5465637 5803022 6477792 7287516 8637056 8704533 9716688 10931274 11606044 12955584 14575032 17409066 19433376 21862548 23212088 25911168 26113599 29150064 34818132 38866752 43725096 46424176 52227198 58300128 69636264 77733504 78340797 87450192 92848352 104454396 116600256 139272528 156681594 174900384 185696704 208908792 233200512 235022391 278545056 313363188 349800768 371393408 417817584 470044782 557090112 626726376 699601536 835635168 940089564 1114180224 1253452752 1671270336 1880179128 2506905504 3342540672 3760358256 5013811008 7520716512 10027622016 15041433024 30082866048