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12438721872 = 2432257336109
BaseRepresentation
bin10111001010110011…
…11101010101010000
31012002212122112121200
423211121331111100
5200433303044442
65414140551200
7620146251153
oct134531752520
935085575550
1012438721872
115303374935
1224b1852500
131233012c75
1485ddc1c9a
154cc03234c
hex2e567d550

12438721872 has 60 divisors (see below), whose sum is σ = 34946701140. Its totient is φ = 4130095104.

The previous prime is 12438721871. The next prime is 12438722003. The reversal of 12438721872 is 27812783421.

It can be written as a sum of positive squares in 2 ways, for example, as 12196110096 + 242611776 = 110436^2 + 15576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12438721871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131047 + ... + 205062.

It is an arithmetic number, because the mean of its divisors is an integer number (582445019).

Almost surely, 212438721872 is an apocalyptic number.

12438721872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12438721872 is an abundant number, since it is smaller than the sum of its proper divisors (22507979268).

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

12438721872 is a wasteful number, since it uses less digits than its factorization.

12438721872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336380 (or 336371 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 12438721872 in words is "twelve billion, four hundred thirty-eight million, seven hundred twenty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 257 514 771 1028 1542 2056 2313 3084 4112 4626 6168 9252 12336 18504 37008 336109 672218 1008327 1344436 2016654 2688872 3024981 4033308 5377744 6049962 8066616 12099924 16133232 24199848 48399696 86380013 172760026 259140039 345520052 518280078 691040104 777420117 1036560156 1382080208 1554840234 2073120312 3109680468 4146240624 6219360936 12438721872