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12243701620 = 2256173137477
BaseRepresentation
bin10110110011100100…
…00000111101110100
31011121021200111010101
423121302000331310
5200033341422440
65342533003444
7612260514043
oct133162007564
934537614111
1012243701620
115213283277
122458483584
1312017b0477
1484213855a
154b9d5d69a
hex2d9c80f74

12243701620 has 48 divisors (see below), whose sum is σ = 26491460688. Its totient is φ = 4751170560.

The previous prime is 12243701611. The next prime is 12243701623. The reversal of 12243701620 is 2610734221.

12243701620 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 8 ways, for example, as 1817657956 + 10426043664 = 42634^2 + 102108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12243701623) 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 15 ways as a sum of consecutive naturals, for example, 20322 + ... + 157798.

It is an arithmetic number, because the mean of its divisors is an integer number (551905431).

Almost surely, 212243701620 is an apocalyptic number.

12243701620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243701620 is an abundant number, since it is smaller than the sum of its proper divisors (14247759068).

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

12243701620 is a wasteful number, since it uses less digits than its factorization.

12243701620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137620 (or 137618 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 12243701620 in words is "twelve billion, two hundred forty-three million, seven hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 61 73 122 146 244 292 305 365 610 730 1220 1460 4453 8906 17812 22265 44530 89060 137477 274954 549908 687385 1374770 2749540 8386097 10035821 16772194 20071642 33544388 40143284 41930485 50179105 83860970 100358210 167721940 200716420 612185081 1224370162 2448740324 3060925405 6121850810 12243701620