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12642014434707 = 337234676227443
BaseRepresentation
bin1011011111110111001011…
…0001111001010110010011
31122202120020201111120201000
42313331302301321112103
53124111321143402312
642515354455313043
72443232621452560
oct267756261712623
948676221446630
1012642014434707
1140344a2632009
12150213507b783
137091a185bc38
14319c3bba5867
1516dcab539adc
hexb7f72c79593

12642014434707 has 64 divisors (see below), whose sum is σ = 22382928322560. Its totient is φ = 6895123421472.

The previous prime is 12642014434703. The next prime is 12642014434717. The reversal of 12642014434707 is 70743441024621.

12642014434707 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 201 + 4 + 434 + 7 + 0 + 7 = 666.

It is not a de Polignac number, because 12642014434707 - 22 = 12642014434703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12642014434703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1083673 + ... + 5143770.

It is an arithmetic number, because the mean of its divisors is an integer number (349733255040).

Almost surely, 212642014434707 is an apocalyptic number.

12642014434707 is a deficient number, since it is larger than the sum of its proper divisors (9740913887853).

12642014434707 is a wasteful number, since it uses less digits than its factorization.

12642014434707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6227949 (or 6227943 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 12642014434707 in words is "twelve trillion, six hundred forty-two billion, fourteen million, four hundred thirty-four thousand, seven hundred seven".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 467 483 621 1401 1449 3269 4203 4347 9807 10741 12609 29421 32223 75187 88263 96669 225561 290007 676683 2030049 6227443 18682329 43592101 56046987 130776303 143231189 168140961 392328909 429693567 1002618323 1176986727 1289080701 2908215881 3007854969 3867242103 8724647643 9023564907 20357511167 26173942929 27070694721 61072533501 66888965263 78521828787 183217600503 200666895789 468222756841 549652801509 602000687367 1404668270523 1806002062101 4214004811569 12642014434707