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12168362570 = 2572131910261
BaseRepresentation
bin10110101010100101…
…00111101001001010
31011102000220212101012
423111102213221022
5144410100100240
65331242123522
7610354242500
oct132522475112
934360825335
1012168362570
1151847a59a1
1224371b05a2
1311bbcc2750
14836126670
154b342ab65
hex2d54a7a4a

12168362570 has 48 divisors (see below), whose sum is σ = 27439003368. Its totient is φ = 3851084160.

The previous prime is 12168362539. The next prime is 12168362573. The reversal of 12168362570 is 7526386121.

12168362570 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 4 ways, for example, as 10286624929 + 1881737641 = 101423^2 + 43379^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12168362573) 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, 948761 + ... + 961500.

Almost surely, 212168362570 is an apocalyptic number.

12168362570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12168362570 is an abundant number, since it is smaller than the sum of its proper divisors (15270640798).

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

12168362570 is a wasteful number, since it uses less digits than its factorization.

12168362570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910295 (or 1910288 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 12168362570 in words is "twelve billion, one hundred sixty-eight million, three hundred sixty-two thousand, five hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 3185 6370 1910261 3820522 9551305 13371827 19102610 24833393 26743654 49666786 66859135 93602789 124166965 133718270 173833751 187205578 248333930 347667502 468013945 869168755 936027890 1216836257 1738337510 2433672514 6084181285 12168362570