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12387441315 = 3523415471601
BaseRepresentation
bin10111000100101100…
…10101101010100011
31011222022011012220210
423202112111222203
5200332141110230
65405105505203
7615654341154
oct134226255243
934868135823
1012387441315
11528742a007
122498642203
1312254c9a42
1485727392b
154c77a2eb0
hex2e2595aa3

12387441315 has 64 divisors (see below), whose sum is σ = 21238060032. Its totient is φ = 6150144000.

The previous prime is 12387441299. The next prime is 12387441329. The reversal of 12387441315 is 51314478321.

12387441315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12387441315 - 24 = 12387441299 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7736515 + ... + 7738115.

It is an arithmetic number, because the mean of its divisors is an integer number (331844688).

Almost surely, 212387441315 is an apocalyptic number.

12387441315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12387441315 is a deficient number, since it is larger than the sum of its proper divisors (8850618717).

12387441315 is a wasteful number, since it uses less digits than its factorization.

12387441315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220.

The product of its digits is 80640, while the sum is 39.

The spelling of 12387441315 in words is "twelve billion, three hundred eighty-seven million, four hundred forty-one thousand, three hundred fifteen".

Divisors: 1 3 5 15 23 41 69 115 123 205 345 547 615 943 1601 1641 2735 2829 4715 4803 8005 8205 12581 14145 22427 24015 36823 37743 62905 65641 67281 110469 112135 184115 188715 196923 328205 336405 515821 552345 875747 984615 1509743 1547463 2579105 2627241 4378735 4529229 7548715 7737315 13136205 20142181 22646145 35905627 60426543 100710905 107716881 179528135 302132715 538584405 825829421 2477488263 4129147105 12387441315