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12269144816 = 241940359029
BaseRepresentation
bin10110110110100110…
…00100101011110000
31011200001120010121222
423123103010223300
5200111400113231
65345242204212
7613020003335
oct133323045360
934601503558
1012269144816
115226681105
122464ab3668
131206b4b306
1484567c98c
154bc1d727b
hex2db4c4af0

12269144816 has 20 divisors (see below), whose sum is σ = 25022598600. Its totient is φ = 5811700032.

The previous prime is 12269144809. The next prime is 12269144837. The reversal of 12269144816 is 61844196221.

12269144816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 20179211 + ... + 20179818.

It is an arithmetic number, because the mean of its divisors is an integer number (1251129930).

Almost surely, 212269144816 is an apocalyptic number.

12269144816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12269144816 is an abundant number, since it is smaller than the sum of its proper divisors (12753453784).

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

12269144816 is a wasteful number, since it uses less digits than its factorization.

12269144816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40359056 (or 40359050 counting only the distinct ones).

The product of its digits is 165888, while the sum is 44.

The spelling of 12269144816 in words is "twelve billion, two hundred sixty-nine million, one hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 304 40359029 80718058 161436116 322872232 645744464 766821551 1533643102 3067286204 6134572408 12269144816