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12786455976012 = 22333440832
BaseRepresentation
bin1011101000010001010000…
…1010101001100001001100
31200021101002002202010201000
42322010110022221201030
53133443130212213022
643110003343020300
72456535204345105
oct272042412514114
950241062663630
1012786455976012
11408a784068944
12152612629a690
137199b066a184
14322c212433ac
1517291214d6ac
hexba1142a984c

12786455976012 has 36 divisors (see below), whose sum is σ = 33150167392440. Its totient is φ = 4262139605016.

The previous prime is 12786455976011. The next prime is 12786455976037. The reversal of 12786455976012 is 21067955468721.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12786455976012 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 6 + 4 + 559 + 7 + 60 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (12786455976011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36988923 + ... + 37333005.

Almost surely, 212786455976012 is an apocalyptic number.

12786455976012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12786455976012 is an abundant number, since it is smaller than the sum of its proper divisors (20363711416428).

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

12786455976012 is an frugal number, since it uses more digits than its factorization.

12786455976012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688179 (or 344088 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 12786455976012 in words is "twelve trillion, seven hundred eighty-six billion, four hundred fifty-five million, nine hundred seventy-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 344083 688166 1032249 1376332 2064498 3096747 4128996 6193494 9290241 12386988 18580482 37160964 118393110889 236786221778 355179332667 473572443556 710358665334 1065537998001 1420717330668 2131075996002 3196613994003 4262151992004 6393227988006 12786455976012