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12412351296 = 263221549221
BaseRepresentation
bin10111000111101010…
…10111001101000000
31012001001000202222200
423203311113031000
5200410030220141
65411355433200
7616406150052
oct134365271500
935031022880
1012412351296
11529a4a3274
1224a4a55800
13122a70bc87
1485a6b98d2
154c9a73ab6
hex2e3d57340

12412351296 has 42 divisors (see below), whose sum is σ = 35577765522. Its totient is φ = 4137450240.

The previous prime is 12412351247. The next prime is 12412351297. The reversal of 12412351296 is 69215321421.

12412351296 is a `hidden beast` number, since 1 + 2 + 4 + 12 + 351 + 296 = 666.

12412351296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12395704896 + 16646400 = 111336^2 + 4080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12412351296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412351297) 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 5 ways as a sum of consecutive naturals, for example, 10774035 + ... + 10775186.

Almost surely, 212412351296 is an apocalyptic number.

12412351296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12412351296 is an abundant number, since it is smaller than the sum of its proper divisors (23165414226).

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

12412351296 is a wasteful number, since it uses less digits than its factorization.

12412351296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21549239 (or 21549226 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 12412351296 in words is "twelve billion, four hundred twelve million, three hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 21549221 43098442 64647663 86196884 129295326 172393768 193942989 258590652 344787536 387885978 517181304 689575072 775771956 1034362608 1379150144 1551543912 2068725216 3103087824 4137450432 6206175648 12412351296