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12704999811696 = 243288229165359
BaseRepresentation
bin1011100011100001110100…
…0000000010101001110000
31122222120211021121020210100
42320320131000002221300
53131124314422433241
643004332450432400
72450622511360353
oct270703500025160
948876737536710
1012704999811696
1140591841a1a85
121512392892700
137120cb95078a
1431ccd4d3629a
15170745de39b6
hexb8e1d002a70

12704999811696 has 30 divisors (see below), whose sum is σ = 35556353640080. Its totient is φ = 4234999937184.

The previous prime is 12704999811689. The next prime is 12704999811719. The reversal of 12704999811696 is 69611899940721.

12704999811696 is a `hidden beast` number, since 1 + 2 + 70 + 499 + 9 + 8 + 1 + 1 + 69 + 6 = 666.

It is a super-2 number, since 2×127049998116962 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 44114582536 + ... + 44114582823.

Almost surely, 212704999811696 is an apocalyptic number.

12704999811696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12704999811696 is an abundant number, since it is smaller than the sum of its proper divisors (22851353828384).

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

12704999811696 is a wasteful number, since it uses less digits than its factorization.

12704999811696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88229165373 (or 88229165364 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

It can be divided in two parts, 12704 and 999811696, that added together give a square (999824400 = 316202).

The spelling of 12704999811696 in words is "twelve trillion, seven hundred four billion, nine hundred ninety-nine million, eight hundred eleven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 88229165359 176458330718 264687496077 352916661436 529374992154 705833322872 794062488231 1058749984308 1411666645744 1588124976462 2117499968616 3176249952924 4234999937232 6352499905848 12704999811696