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12440120896 = 26727768127
BaseRepresentation
bin10111001010111110…
…10010111001000000
31012002222021121201101
423211133102321000
5200434132332041
65414230544144
7620164166020
oct134537227100
935088247641
1012440120896
11530413aa55
1224b2208054
1312333b29a8
14860267a80
154cc20bb31
hex2e57d2e40

12440120896 has 28 divisors (see below), whose sum is σ = 28212418048. Its totient is φ = 5331480192.

The previous prime is 12440120887. The next prime is 12440120899. The reversal of 12440120896 is 69802104421.

12440120896 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 (28).

It is not an unprimeable number, because it can be changed into a prime (12440120899) 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, 13883616 + ... + 13884511.

Almost surely, 212440120896 is an apocalyptic number.

12440120896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12440120896 is an abundant number, since it is smaller than the sum of its proper divisors (15772297152).

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

12440120896 is an equidigital number, since it uses as much as digits as its factorization.

12440120896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27768146 (or 27768136 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 12440120896 in words is "twelve billion, four hundred forty million, one hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 27768127 55536254 111072508 194376889 222145016 388753778 444290032 777507556 888580064 1555015112 1777160128 3110030224 6220060448 12440120896