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12468350817 = 341317696517
BaseRepresentation
bin10111001110010101…
…11110111101100001
31012011221101211220000
423213022332331201
5201013344211232
65421120010213
7620656143006
oct134712767541
935157354800
1012468350817
11531907156a
1224bb760969
1312391b80a0
14863cd58ad
154ce93627c
hex2e72bef61

12468350817 has 40 divisors (see below), whose sum is σ = 21238226856. Its totient is φ = 7221477888.

The previous prime is 12468350813. The next prime is 12468350827. The reversal of 12468350817 is 71805386421.

12468350817 is a `hidden beast` number, since 12 + 46 + 83 + 508 + 17 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5182704081 + 7285646736 = 71991^2 + 85356^2 .

It is not a de Polignac number, because 12468350817 - 22 = 12468350813 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12468350813) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330358 + ... + 366159.

Almost surely, 212468350817 is an apocalyptic number.

12468350817 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12468350817 is a deficient number, since it is larger than the sum of its proper divisors (8769876039).

12468350817 is a wasteful number, since it uses less digits than its factorization.

12468350817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696559 (or 696550 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12468350817 in words is "twelve billion, four hundred sixty-eight million, three hundred fifty thousand, eight hundred seventeen".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 351 459 663 1053 1377 1989 5967 17901 696517 2089551 6268653 9054721 11840789 18805959 27164163 35522367 56417877 81492489 106567101 153930257 244477467 319701303 461790771 733432401 959103909 1385372313 4156116939 12468350817