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30561356062468 = 22721117916191019
BaseRepresentation
bin1101111001011100111101…
…10001011001111100000100
311000012122012110011101110201
412330232132301121330010
513001204124122444333
6144555405415500244
76302661615241300
oct674563661317404
9130178173141421
1030561356062468
119812aa88453a0
123516bb4387684
131408c00c50b1a
1477926b1b8d00
1537ee8722617d
hex1bcb9ec59f04

30561356062468 has 144 divisors (see below), whose sum is σ = 71871012884160. Its totient is φ = 11205262387200.

The previous prime is 30561356062357. The next prime is 30561356062469. The reversal of 30561356062468 is 86426065316503.

It is not an unprimeable number, because it can be changed into a prime (30561356062469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335723463 + ... + 335814481.

It is an arithmetic number, because the mean of its divisors is an integer number (499104256140).

Almost surely, 230561356062468 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 30561356062468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35935506442080).

30561356062468 is an abundant number, since it is smaller than the sum of its proper divisors (41309656821692).

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

30561356062468 is a wasteful number, since it uses less digits than its factorization.

30561356062468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100226 (or 100217 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 55.

The spelling of 30561356062468 in words is "thirty trillion, five hundred sixty-one billion, three hundred fifty-six million, sixty-two thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 154 187 196 238 308 374 476 539 748 833 1078 1309 1666 2156 2618 3332 5236 9161 9163 18322 18326 36644 36652 64127 91019 100771 128254 155737 182038 201542 256508 311474 364076 403084 448889 622948 637133 705397 897778 1001209 1090159 1274266 1410794 1547323 1713107 1795556 2002418 2180318 2548532 2821588 3094646 3426214 4004836 4360636 4459931 4937779 6189292 6852428 7008463 7631113 8919862 9875558 10831261 11991749 14016926 15262226 17020553 17839724 19751116 21662522 23983498 28033852 30524452 34041106 43325044 47966996 49059241 68082212 75818827 83942243 98118482 119143871 151637654 167884486 196236964 238287742 303275308 335768972 476575484 833825059 834007097 1667650118 1668014194 3335300236 3336028388 5836775413 9172075649 11673550826 14175026003 18344151298 23347101652 28350052006 36688302596 40857427891 56700104012 64204529543 81714855782 99225182021 128409059086 155925286033 163429711564 198450364042 256818118172 311850572066 396900728084 449431706801 623701144132 694576274147 898863413602 1091477002231 1389152548294 1797726827204 2182954004462 2778305096588 4365908008924 7640339015617 15280678031234 30561356062468