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12643330020516 = 223213231174594019
BaseRepresentation
bin1011011111111100000100…
…1100011101010010100100
31122202200122102000021011100
42313333001030131102210
53124122014441124031
642520133213040100
72443310334655656
oct267770114352244
948680572007140
1012643330020516
114035008205108
121502441786030
13709351293090
14319d247c26d6
1516dd36ca7de6
hexb7fc131d4a4

12643330020516 has 72 divisors (see below), whose sum is σ = 35914386755520. Its totient is φ = 3721113849024.

The previous prime is 12643330020463. The next prime is 12643330020533. The reversal of 12643330020516 is 61502003334621.

12643330020516 is a `hidden beast` number, since 1 + 2 + 6 + 433 + 3 + 0 + 0 + 205 + 16 = 666.

It is a super-2 number, since 2×126433300205162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587286246 + ... + 587307773.

It is an arithmetic number, because the mean of its divisors is an integer number (498810927160).

Almost surely, 212643330020516 is an apocalyptic number.

It is an amenable number.

12643330020516 is an abundant number, since it is smaller than the sum of its proper divisors (23271056735004).

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

12643330020516 is a wasteful number, since it uses less digits than its factorization.

12643330020516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174594065 (or 1174594060 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 12643330020516 in words is "twelve trillion, six hundred forty-three billion, three hundred thirty million, twenty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 1174594019 2349188038 3523782057 4698376076 7047564114 10571346171 14095128228 15269722247 21142692342 27015662437 30539444494 42285384684 45809166741 54031324874 61078888988 81046987311 91618333482 108062649748 137427500223 162093974622 183236666964 243140961933 274855000446 324187949244 351203611681 486281923866 549710000892 702407223362 972563847732 1053610835043 1404814446724 2107221670086 3160832505129 4214443340172 6321665010258 12643330020516