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12387099240 = 2332534408609
BaseRepresentation
bin10111000100101010…
…00010001001101000
31011222021111211200100
423202111002021220
5200332044133430
65405054305400
7615651414645
oct134225021150
934867454610
1012387099240
115287215aaa
1224984b8260
13122540a129
148571c4dcc
154c7736960
hex2e2542268

12387099240 has 48 divisors (see below), whose sum is σ = 40258073700. Its totient is φ = 3303226368.

The previous prime is 12387099239. The next prime is 12387099313. The reversal of 12387099240 is 4299078321.

It can be written as a sum of positive squares in 2 ways, for example, as 12202737156 + 184362084 = 110466^2 + 13578^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17203945 + ... + 17204664.

Almost surely, 212387099240 is an apocalyptic number.

12387099240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12387099240 is an abundant number, since it is smaller than the sum of its proper divisors (27870974460).

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

12387099240 is a wasteful number, since it uses less digits than its factorization.

12387099240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34408626 (or 34408619 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12387099240 in words is "twelve billion, three hundred eighty-seven million, ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 34408609 68817218 103225827 137634436 172043045 206451654 275268872 309677481 344086090 412903308 516129135 619354962 688172180 825806616 1032258270 1238709924 1376344360 1548387405 2064516540 2477419848 3096774810 4129033080 6193549620 12387099240