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12063271776 = 253125659081
BaseRepresentation
bin10110011110000011…
…01110101101100000
31011010201011200220120
423033001232231200
5144201144144101
65313005440240
7604640055363
oct131701565540
934121150816
1012063271776
1151304476a6
122407b70080
1311a32b8a4a
148261ac0da
154a90bcb36
hex2cf06eb60

12063271776 has 24 divisors (see below), whose sum is σ = 31666088664. Its totient is φ = 4021090560.

The previous prime is 12063271711. The next prime is 12063271777. The reversal of 12063271776 is 67717236021.

12063271776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×120632717763 (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12063271777) 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 3 ways as a sum of consecutive naturals, for example, 62829445 + ... + 62829636.

It is an arithmetic number, because the mean of its divisors is an integer number (1319420361).

Almost surely, 212063271776 is an apocalyptic number.

12063271776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12063271776 is an abundant number, since it is smaller than the sum of its proper divisors (19602816888).

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

12063271776 is a wasteful number, since it uses less digits than its factorization.

12063271776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125659094 (or 125659086 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 12063271776 in words is "twelve billion, sixty-three million, two hundred seventy-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 125659081 251318162 376977243 502636324 753954486 1005272648 1507908972 2010545296 3015817944 4021090592 6031635888 12063271776