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12385756317 = 3111723999203
BaseRepresentation
bin10111000100011111…
…11010010010011101
31011222011222121112110
423202033322102131
5200331223200232
65405005424233
7615634122504
oct134217722235
934864877473
1012385756317
115286489050
122497b6b079
131225059abc
14856d5583b
154c756dacc
hex2e23fa49d

12385756317 has 32 divisors (see below), whose sum is σ = 19085414400. Its totient is φ = 7061246720.

The previous prime is 12385756303. The next prime is 12385756321. The reversal of 12385756317 is 71365758321.

It is not a de Polignac number, because 12385756317 - 24 = 12385756301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12385756367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341238 + ... + 1350440.

It is an arithmetic number, because the mean of its divisors is an integer number (596419200).

Almost surely, 212385756317 is an apocalyptic number.

12385756317 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12385756317 is a deficient number, since it is larger than the sum of its proper divisors (6699658083).

12385756317 is a wasteful number, since it uses less digits than its factorization.

12385756317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11633.

The product of its digits is 1058400, while the sum is 48.

The spelling of 12385756317 in words is "twelve billion, three hundred eighty-five million, seven hundred fifty-six thousand, three hundred seventeen".

Divisors: 1 3 11 17 33 51 187 561 2399 7197 9203 26389 27609 40783 79167 101233 122349 156451 303699 448613 469353 1345839 1720961 5162883 22077997 66233991 242857967 375325949 728573901 1125977847 4128585439 12385756317