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12422003814 = 2321167936379
BaseRepresentation
bin10111001000110100…
…01011110001100110
31012001201012011202100
423210122023301212
5200420013110224
65412342352530
7616554201363
oct134432136146
935051164670
1012422003814
1152a4996360
1224a812b746
13122c70b61c
1485baad46a
154ca82dac9
hex2e468bc66

12422003814 has 48 divisors (see below), whose sum is σ = 29799357120. Its totient is φ = 3708056880.

The previous prime is 12422003813. The next prime is 12422003833. The reversal of 12422003814 is 41830022421.

12422003814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422003813) 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 23 ways as a sum of consecutive naturals, for example, 454924 + ... + 481455.

It is an arithmetic number, because the mean of its divisors is an integer number (620819940).

Almost surely, 212422003814 is an apocalyptic number.

12422003814 is an abundant number, since it is smaller than the sum of its proper divisors (17377353306).

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

12422003814 is a wasteful number, since it uses less digits than its factorization.

12422003814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936465 (or 936462 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

It can be divided in two parts, 1242 and 2003814, that added together give a square (2005056 = 14162).

The spelling of 12422003814 in words is "twelve billion, four hundred twenty-two million, three thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 737 1206 1474 2211 4422 6633 13266 936379 1872758 2809137 5618274 8427411 10300169 16854822 20600338 30900507 61801014 62737393 92701521 125474786 185403042 188212179 376424358 564636537 690111323 1129273074 1380222646 2070333969 4140667938 6211001907 12422003814