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12405143472 = 24319232920393
BaseRepresentation
bin10111000110110011…
…10111011110110000
31012000112110120201020
423203121313132300
5200401204042342
65410541135440
7616260660021
oct134331673660
935015416636
1012405143472
11529641a997
1224a255a580
1312290872a7
14859760c48
154c90ed0ec
hex2e36777b0

12405143472 has 160 divisors (see below), whose sum is σ = 36415526400. Its totient is φ = 3617703936.

The previous prime is 12405143467. The next prime is 12405143473. The reversal of 12405143472 is 27434150421.

It is not an unprimeable number, because it can be changed into a prime (12405143473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598108 + ... + 618500.

It is an arithmetic number, because the mean of its divisors is an integer number (227597040).

Almost surely, 212405143472 is an apocalyptic number.

12405143472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12405143472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18207763200).

12405143472 is an abundant number, since it is smaller than the sum of its proper divisors (24010382928).

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

12405143472 is a wasteful number, since it uses less digits than its factorization.

12405143472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20475 (or 20469 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 12405143472 its reverse (27434150421), we get a palindrome (39839293893).

The spelling of 12405143472 in words is "twelve billion, four hundred five million, one hundred forty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 29 38 46 48 57 58 69 76 87 92 114 116 138 152 174 184 228 232 276 304 348 368 437 456 464 551 552 667 696 874 912 1102 1104 1311 1334 1392 1653 1748 2001 2204 2622 2668 3306 3496 4002 4408 5244 5336 6612 6992 8004 8816 10488 10672 12673 13224 16008 20393 20976 25346 26448 32016 38019 40786 50692 61179 76038 81572 101384 122358 152076 163144 202768 244716 304152 326288 387467 469039 489432 591397 608304 774934 938078 978864 1162401 1182794 1407117 1549868 1774191 1876156 2324802 2365588 2814234 3099736 3548382 3752312 4649604 4731176 5628468 6199472 7096764 7504624 8911741 9299208 9462352 11236543 11256936 13602131 14193528 17823482 18598416 22473086 22513872 26735223 27204262 28387056 33709629 35646964 40806393 44946172 53470446 54408524 67419258 71293928 81612786 89892344 106940892 108817048 134838516 142587856 163225572 179784688 213881784 217634096 258440489 269677032 326451144 427763568 516880978 539354064 652902288 775321467 1033761956 1550642934 2067523912 3101285868 4135047824 6202571736 12405143472