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12998339574 = 2311229261349
BaseRepresentation
bin11000001101100001…
…01110101111110110
31020112212200001210020
430012300232233312
5203110033331244
65545451310010
7640053030513
oct140660565766
936485601706
1012998339574
115570250a00
12262914b306
1312c1c3ccbc
148b445630a
15511224d19
hex306c2ebf6

12998339574 has 144 divisors (see below), whose sum is σ = 30165517200. Its totient is φ = 3730003200.

The previous prime is 12998339539. The next prime is 12998339609. The reversal of 12998339574 is 47593389921.

It is an interprime number because it is at equal distance from previous prime (12998339539) and next prime (12998339609).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 37244352 + ... + 37244700.

Almost surely, 212998339574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12998339574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082758600).

12998339574 is an abundant number, since it is smaller than the sum of its proper divisors (17167177626).

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

12998339574 is a wasteful number, since it uses less digits than its factorization.

12998339574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 455 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 60.

The spelling of 12998339574 in words is "twelve billion, nine hundred ninety-eight million, three hundred thirty-nine thousand, five hundred seventy-four".

Divisors: 1 2 3 6 11 22 29 33 58 61 66 87 121 122 174 183 242 319 349 363 366 638 671 698 726 841 957 1047 1342 1682 1769 1914 2013 2094 2523 3509 3538 3839 4026 5046 5307 7018 7381 7678 9251 10121 10527 10614 11517 14762 18502 19459 20242 21054 21289 22143 23034 27753 30363 38918 42229 42578 44286 51301 55506 58377 60726 63867 84458 101761 102602 111331 116754 126687 127734 153903 203522 214049 222662 234179 253374 293509 305283 307806 333993 428098 468358 564311 587018 610566 617381 642147 667986 702537 880527 1128622 1224641 1234762 1284294 1405074 1692933 1761054 1852143 2449282 2575969 3228599 3385866 3673923 3704286 5151938 6207421 6457198 6791191 7347846 7727907 9685797 12414842 13582382 15455814 17904049 18622263 19371594 20373573 35514589 35808098 37244526 40747146 53712147 71029178 74703101 106543767 107424294 149406202 196944539 213087534 224109303 393889078 448218606 590833617 1181667234 2166389929 4332779858 6499169787 12998339574